156107342664 has 1152 divisors, whose sum is σ = 595183680000. Its totient is φ = 38023147008.

The previous prime is 156107342647. The next prime is 156107342701. The reversal of 156107342664 is 466243701651.

156107342664 is a `hidden beast` number, since 1 + 5 + 610 + 7 + 3 + 4 + 26 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5383011802 + ... + 5383011830.

It is an arithmetic number, because the mean of its divisors is an integer number (516652500).

Almost surely, 2^156107342664 is an apocalyptic number.

156107342664 is a gapful number since it is divisible by the number (14) 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 156107342664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297591840000).

156107342664 is an abundant number, since it is smaller than the sum of its proper divisors (439076337336).

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

156107342664 is an equidigital number, since it uses as much as digits as its factorization.

156107342664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 156107342664 in words is "one hundred fifty-six billion, one hundred seven million, three hundred forty-two thousand, six hundred sixty-four".