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132151301351454 = 237111037333788683
BaseRepresentation
bin11110000011000011011111…
…010111111010100000011110
3122022220112121102001011012110
4132003003133113322200132
5114310131331121221304
61145021245244014450
736556421304400410
oct3603033727724036
9568815542034173
10132151301351454
1139120063487830
12129a3983531426
135897a77b87b48
14248c22b1929b0
15104285a511289
hex7830df5fa81e

132151301351454 has 128 divisors (see below), whose sum is σ = 333173355061248. Its totient is φ = 33945378341760.

The previous prime is 132151301351441. The next prime is 132151301351473. The reversal of 132151301351454 is 454153103151231.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32986197 + ... + 36774879.

It is an arithmetic number, because the mean of its divisors is an integer number (2602916836416).

Almost surely, 2132151301351454 is an apocalyptic number.

132151301351454 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132151301351454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166586677530624).

132151301351454 is an abundant number, since it is smaller than the sum of its proper divisors (201022053709794).

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

132151301351454 is a wasteful number, since it uses less digits than its factorization.

132151301351454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3789542.

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 132151301351454 in words is "one hundred thirty-two trillion, one hundred fifty-one billion, three hundred one million, three hundred fifty-one thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 103 154 206 231 309 462 618 721 733 1133 1442 1466 2163 2199 2266 3399 4326 4398 5131 6798 7931 8063 10262 15393 15862 16126 23793 24189 30786 47586 48378 56441 75499 112882 150998 169323 226497 338646 452994 528493 830489 1056986 1585479 1660978 2491467 3170958 3788683 4982934 5813423 7577366 11366049 11626846 17440269 22732098 26520781 34880538 41675513 53041562 79562343 83351026 125026539 159124686 250053078 291728591 390234349 583457182 780468698 875185773 1170703047 1750371546 2341406094 2731640443 2777104639 4292577839 5463280886 5554209278 8194921329 8331313917 8585155678 12877733517 16389842658 16662627834 19439732473 25755467034 30048044873 30548151029 38879464946 58319197419 60096089746 61096302058 90144134619 91644453087 116638394838 180288269238 183288906174 213837057203 286041777817 427674114406 572083555634 641511171609 858125333451 1283022343218 1716250666902 2002292444719 3146459555987 4004584889438 6006877334157 6292919111974 9439378667961 12013754668314 18878757335922 22025216891909 44050433783818 66075650675727 132151301351454