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132135004150452 = 2232151140924377079
BaseRepresentation
bin11110000010110100010011…
…111111000001101010110100
3122022211222112121222120021100
4132002310103333001222310
5114304344442030303302
61145005552150250100
736555303403436022
oct3602642377015264
9568758477876240
10132135004150452
11391141600aa476
12129a0795656930
13589637b673b44
14248b522979712
1510422048b0d1c
hex782d13fc1ab4

132135004150452 has 144 divisors (see below), whose sum is σ = 336644134444800. Its totient is φ = 43698145075200.

The previous prime is 132135004150451. The next prime is 132135004150459. The reversal of 132135004150452 is 254051400531231.

132135004150452 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 3 + 50 + 0 + 4 + 150 + 452 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132135004150451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18665769049 + ... + 18665776127.

It is an arithmetic number, because the mean of its divisors is an integer number (2337806489200).

Almost surely, 2132135004150452 is an apocalyptic number.

132135004150452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132135004150452 is an abundant number, since it is smaller than the sum of its proper divisors (204509130294348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132135004150452 is a wasteful number, since it uses less digits than its factorization.

132135004150452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11086 (or 11081 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 132135004150452 its reverse (254051400531231), we get a palindrome (386186404681683).

The spelling of 132135004150452 in words is "one hundred thirty-two trillion, one hundred thirty-five billion, four million, one hundred fifty thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 151 302 453 604 906 1359 1409 1812 2437 2718 2818 4227 4874 5436 5636 7079 7311 8454 9748 12681 14158 14622 16908 21237 21933 25362 28316 29244 42474 43866 50724 63711 84948 87732 127422 212759 254844 367987 425518 638277 735974 851036 1068929 1103961 1276554 1471948 1914831 2137858 2207922 2553108 3206787 3311883 3433733 3829662 4275716 4415844 6413574 6623766 6867466 7659324 9620361 9974311 10301199 12827148 13247532 13734932 17251523 19240722 19948622 20602398 29922933 30903597 34503046 38481444 39897244 41204796 51754569 59845866 61807194 69006092 89768799 103509138 119691732 123614388 155263707 179537598 207018276 310527414 359075196 518493683 621054828 1036987366 1506120961 1555481049 2073974732 2604979973 3012241922 3110962098 4518362883 4666443147 5209959946 6024483844 6221924196 7814939919 9036725766 9332886294 10419919892 13555088649 15629879838 18073451532 18665772588 23444819757 24307395907 27110177298 31259759676 46889639514 48614791814 54220354596 72922187721 93779279028 97229583628 145844375442 218766563163 291688750884 437533126326 875066252652 3670416781957 7340833563914 11011250345871 14681667127828 22022500691742 33033751037613 44045001383484 66067502075226 132135004150452