156932213100 has 288 divisors, whose sum is σ = 511947233280. Its totient is φ = 36826690560.

The previous prime is 156932213089. The next prime is 156932213129. The reversal of 156932213100 is 1312239651.

156932213100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×156932213100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28432141 + ... + 28437659.

It is an arithmetic number, because the mean of its divisors is an integer number (1777594560).

Almost surely, 2^156932213100 is an apocalyptic number.

156932213100 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 156932213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255973616640).

156932213100 is an abundant number, since it is smaller than the sum of its proper divisors (355015020180).

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

156932213100 is a wasteful number, since it uses less digits than its factorization.

156932213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5889 (or 5882 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 156932213100 in words is "one hundred fifty-six billion, nine hundred thirty-two million, two hundred thirteen thousand, one hundred".