153074997504 has 1215 divisors, whose sum is σ = 573368694129. Its totient is φ = 40564592640.

The previous prime is 153074997487. The next prime is 153074997511. The reversal of 153074997504 is 405799470351.

The square root of 153074997504 is 391248.

It is a perfect power (a square), and thus also a powerful number.

153074997504 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 7 + 49 + 97 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22644230400 + 130430767104 = 150480^2 + 361152^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 134 ways as a sum of consecutive naturals, for example, 8056578807 + ... + 8056578825.

Almost surely, 2^153074997504 is an apocalyptic number.

153074997504 is the 391248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153074997504

153074997504 is an abundant number, since it is smaller than the sum of its proper divisors (420293696625).

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

153074997504 is a wasteful number, since it uses less digits than its factorization.

153074997504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 153074997504 in words is "one hundred fifty-three billion, seventy-four million, nine hundred ninety-seven thousand, five hundred four".