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152025136131 = 311371131517297
BaseRepresentation
bin1000110110010101100…
…1110111110000000011
3112112101220010002101110
42031211121313300003
54442321413324011
6153501150134403
713661216223141
oct2154531676003
9475356102343
10152025136131
1159523253980
1225568ab1403
1311449cb796b
147502710591
153e4b7a9ba6
hex2365677c03

152025136131 has 64 divisors (see below), whose sum is σ = 230662573056. Its totient is φ = 88252416000.

The previous prime is 152025136097. The next prime is 152025136187. The reversal of 152025136131 is 131631520251.

152025136131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 152025136131 - 225 = 151991581699 is a prime.

It is a super-2 number, since 2×1520251361312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (152025136331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20830275 + ... + 20837571.

It is an arithmetic number, because the mean of its divisors is an integer number (3604102704).

Almost surely, 2152025136131 is an apocalyptic number.

152025136131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

152025136131 is a deficient number, since it is larger than the sum of its proper divisors (78637436925).

152025136131 is a wasteful number, since it uses less digits than its factorization.

152025136131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7612.

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 152025136131 its reverse (131631520251), we get a palindrome (283656656382).

The spelling of 152025136131 in words is "one hundred fifty-two billion, twenty-five million, one hundred thirty-six thousand, one hundred thirty-one".

Divisors: 1 3 11 33 37 111 113 151 339 407 453 1221 1243 1661 3729 4181 4983 5587 7297 12543 16761 17063 21891 45991 51189 61457 80267 137973 184371 187693 240801 269989 563079 631331 809967 824561 1101847 1893993 2473683 2969879 3305541 6944641 8909637 9070171 12120317 20833923 27210513 30508757 36360951 40768339 91526271 122305017 124508711 335596327 373526133 448451729 1006788981 1345355187 1369595821 4108787463 4606822307 13820466921 50675045377 152025136131