156312640000000 has 832 divisors, whose sum is σ = 430947884270592. Its totient is φ = 56686080000000.

The previous prime is 156312639999947. The next prime is 156312640000009. The reversal of 156312640000000 is 46213651.

It is not an unprimeable number, because it can be changed into a prime (156312640000009) 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, 425919999817 + ... + 425920000183.

It is an arithmetic number, because the mean of its divisors is an integer number (517966207056).

Almost surely, 2^{156312640000000} is an apocalyptic number.

156312640000000 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 156312640000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215473942135296).

156312640000000 is an abundant number, since it is smaller than the sum of its proper divisors (274635244270592).

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

156312640000000 is an frugal number, since it uses more digits than its factorization.

156312640000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 156312640000000 its reverse (46213651), we get a palindrome (156312686213651).

The spelling of 156312640000000 in words is "one hundred fifty-six trillion, three hundred twelve billion, six hundred forty million", and thus it is an aban number.