152034872520960 has 5184 divisors, whose sum is σ = 690459887738880. Its totient is φ = 31453161062400.

The previous prime is 152034872520953. The next prime is 152034872521019. The reversal of 152034872520960 is 69025278430251.

152034872520960 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 3 + 48 + 72 + 520 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×152034872520960² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 152034872520897 and 152034872520906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1197124980417 + ... + 1197124980543.

It is a 1-persistent number, because it is pandigital, but 2⋅152034872520960 = 304069745041920 is not.

Almost surely, 2^{152034872520960} is an apocalyptic number.

152034872520960 is a gapful number since it is divisible by the number (10) 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 152034872520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345229943869440).

152034872520960 is an abundant number, since it is smaller than the sum of its proper divisors (538425015217920).

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

152034872520960 is a wasteful number, since it uses less digits than its factorization.

152034872520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 152034872520960 in words is "one hundred fifty-two trillion, thirty-four billion, eight hundred seventy-two million, five hundred twenty thousand, nine hundred sixty".