156152506752 has 512 divisors, whose sum is σ = 527357952000. Its totient is φ = 45026150400.

The previous prime is 156152506739. The next prime is 156152506759. The reversal of 156152506752 is 257605251651.

156152506752 is a `hidden beast` number, since 1 + 5 + 61 + 525 + 0 + 67 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 156152506698 and 156152506707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156152506759) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236953399 + ... + 236954057.

It is an arithmetic number, because the mean of its divisors is an integer number (1029996000).

Almost surely, 2^156152506752 is an apocalyptic number.

156152506752 is a gapful number since it is divisible by the number (12) 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 156152506752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263678976000).

156152506752 is an abundant number, since it is smaller than the sum of its proper divisors (371205445248).

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

156152506752 is a wasteful number, since it uses less digits than its factorization.

156152506752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The spelling of 156152506752 in words is "one hundred fifty-six billion, one hundred fifty-two million, five hundred six thousand, seven hundred fifty-two".