156837937400064 has 216 divisors, whose sum is σ = 455088570448512. Its totient is φ = 51946680913920.

The previous prime is 156837937400051. The next prime is 156837937400071. The reversal of 156837937400064 is 460004739738651.

It is a happy number.

156837937400064 is a `hidden beast` number, since 1 + 5 + 6 + 83 + 7 + 93 + 7 + 400 + 0 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 156837937399974 and 156837937400010.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232558519 + ... + 233231945.

Almost surely, 2^{156837937400064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156837937400064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227544285224256).

156837937400064 is an abundant number, since it is smaller than the sum of its proper divisors (298250633048448).

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

156837937400064 is a wasteful number, since it uses less digits than its factorization.

156837937400064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674093 (or 674076 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 156837937400064 in words is "one hundred fifty-six trillion, eight hundred thirty-seven billion, nine hundred thirty-seven million, four hundred thousand, sixty-four".