156937507104 has 384 divisors, whose sum is σ = 499241594880. Its totient is φ = 42223104000.

The previous prime is 156937507093. The next prime is 156937507109. The reversal of 156937507104 is 401705739651.

It is a super-2 number, since 2×156937507104² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (156937507109) 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, 139747887 + ... + 139749009.

It is an arithmetic number, because the mean of its divisors is an integer number (1300108320).

Almost surely, 2^156937507104 is an apocalyptic number.

156937507104 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 156937507104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249620797440).

156937507104 is an abundant number, since it is smaller than the sum of its proper divisors (342304087776).

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

156937507104 is a wasteful number, since it uses less digits than its factorization.

156937507104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 48.

The spelling of 156937507104 in words is "one hundred fifty-six billion, nine hundred thirty-seven million, five hundred seven thousand, one hundred four".