152014132521504 has 192 divisors, whose sum is σ = 485563367076480. Its totient is φ = 45885647093760.

The previous prime is 152014132521463. The next prime is 152014132521521. The reversal of 152014132521504 is 405125231410251.

152014132521504 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 1 + 413 + 25 + 215 + 0 + 4 = 666.

It is a super-2 number, since 2×152014132521504² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28675669 + ... + 33560724.

It is an arithmetic number, because the mean of its divisors is an integer number (2528975870190).

Almost surely, 2^{152014132521504} is an apocalyptic number.

It is an amenable number.

152014132521504 is an abundant number, since it is smaller than the sum of its proper divisors (333549234554976).

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

152014132521504 is a wasteful number, since it uses less digits than its factorization.

152014132521504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62236680 (or 62236666 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 152014132521504 its reverse (405125231410251), we get a palindrome (557139363931755).

The spelling of 152014132521504 in words is "one hundred fifty-two trillion, fourteen billion, one hundred thirty-two million, five hundred twenty-one thousand, five hundred four".