156816000000 has 1155 divisors, whose sum is σ = 643397448001. Its totient is φ = 38016000000.

The previous prime is 156815999987. The next prime is 156816000023. The reversal of 156816000000 is 618651.

The square root of 156816000000 is 396000.

It is a perfect power (a square), and thus also a powerful number.

156816000000 is a `hidden beast` number, since 1 + 56 + 8 + 1 + 600 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 137385870336 + 19430129664 = 370656^2 + 139392^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 14255999995 + ... + 14256000005.

Almost surely, 2^156816000000 is an apocalyptic number.

156816000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

156816000000 is the 396000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156816000000

156816000000 is an abundant number, since it is smaller than the sum of its proper divisors (486581448001).

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

156816000000 is an frugal number, since it uses more digits than its factorization.

156816000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 156816000000 its reverse (618651), we get a palindrome (156816618651).

The spelling of 156816000000 in words is "one hundred fifty-six billion, eight hundred sixteen million", and thus it is an aban number.