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132115031136 = 25321147838719
BaseRepresentation
bin111101100001010101…
…0110110010001100000
3110122000022201221220100
41323002222312101200
54131032421444021
6140405351342400
712354635143614
oct1730252662140
9418008657810
10132115031136
1151036544350
1221731081a00
13c5c612624a
146574349344
153683899626
hex1ec2ab6460

132115031136 has 144 divisors (see below), whose sum is σ = 409989565440. Its totient is φ = 40021896960.

The previous prime is 132115031017. The next prime is 132115031149. The reversal of 132115031136 is 631130511231.

It is a happy number.

132115031136 is a `hidden beast` number, since 1 + 3 + 21 + 1 + 503 + 1 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15148185 + ... + 15156903.

It is an arithmetic number, because the mean of its divisors is an integer number (2847149760).

Almost surely, 2132115031136 is an apocalyptic number.

132115031136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132115031136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204994782720).

132115031136 is an abundant number, since it is smaller than the sum of its proper divisors (277874534304).

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

132115031136 is a wasteful number, since it uses less digits than its factorization.

132115031136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13529 (or 13518 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 132115031136 its reverse (631130511231), we get a palindrome (763245542367).

The spelling of 132115031136 in words is "one hundred thirty-two billion, one hundred fifteen million, thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 4783 8719 9566 14349 17438 19132 26157 28698 34876 38264 43047 52314 52613 57396 69752 76528 78471 86094 95909 104628 105226 114792 139504 153056 156942 157839 172188 191818 209256 210452 229584 279008 287727 313884 315678 344376 383636 418512 420904 459168 473517 575454 627768 631356 688752 767272 837024 841808 863181 947034 1150908 1255536 1262712 1377504 1534544 1683616 1726362 1894068 2301816 2511072 2525424 3069088 3452724 3788136 4603632 5050848 6905448 7576272 9207264 13810896 15152544 27621792 41702977 83405954 125108931 166811908 250217862 333623816 375326793 458732747 500435724 667247632 750653586 917465494 1000871448 1334495264 1376198241 1501307172 1834930988 2001742896 2752396482 3002614344 3669861976 4003485792 4128594723 5504792964 6005228688 7339723952 8257189446 11009585928 12010457376 14679447904 16514378892 22019171856 33028757784 44038343712 66057515568 132115031136