156123012925152 has 1944 divisors, whose sum is σ = 612011120627088. Its totient is φ = 37493760245760.

The previous prime is 156123012925151. The next prime is 156123012925177. The reversal of 156123012925152 is 251529210321651.

156123012925152 is a `hidden beast` number, since 1 + 5 + 6 + 1 + 2 + 3 + 0 + 129 + 2 + 515 + 2 = 666.

156123012925152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×156123012925152³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 156123012925098 and 156123012925107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156123012925151) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 38962566733 + ... + 38962570739.

It is an arithmetic number, because the mean of its divisors is an integer number (314820535302).

Almost surely, 2^{156123012925152} is an apocalyptic number.

156123012925152 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 156123012925152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306005560313544).

156123012925152 is an abundant number, since it is smaller than the sum of its proper divisors (455888107701936).

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

156123012925152 is a wasteful number, since it uses less digits than its factorization.

156123012925152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4142 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 156123012925152 in words is "one hundred fifty-six trillion, one hundred twenty-three billion, twelve million, nine hundred twenty-five thousand, one hundred fifty-two".