156739968000 has 2816 divisors, whose sum is σ = 784790323200. Its totient is φ = 29859840000.

The previous prime is 156739967963. The next prime is 156739968013. The reversal of 156739968000 is 869937651.

156739968000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2816).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5056127985 + ... + 5056128015.

Almost surely, 2^156739968000 is an apocalyptic number.

156739968000 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 156739968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392395161600).

156739968000 is an abundant number, since it is smaller than the sum of its proper divisors (628050355200).

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

156739968000 is a wasteful number, since it uses less digits than its factorization.

156739968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 156739968000 in words is "one hundred fifty-six billion, seven hundred thirty-nine million, nine hundred sixty-eight thousand".