157352633100 has 432 divisors, whose sum is σ = 564306069600. Its totient is φ = 37785139200.

The previous prime is 157352633077. The next prime is 157352633117. The reversal of 157352633100 is 1336253751.

157352633100 is a `hidden beast` number, since 1 + 5 + 7 + 3 + 5 + 2 + 633 + 10 + 0 = 666.

It is a super-2 number, since 2×157352633100² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12945826 + ... + 12957974.

It is an arithmetic number, because the mean of its divisors is an integer number (1306264050).

Almost surely, 2^157352633100 is an apocalyptic number.

157352633100 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 157352633100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282153034800).

157352633100 is an abundant number, since it is smaller than the sum of its proper divisors (406953436500).

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

157352633100 is a wasteful number, since it uses less digits than its factorization.

157352633100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12232 (or 12213 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

Adding to 157352633100 its reverse (1336253751), we get a palindrome (158688886851).

The spelling of 157352633100 in words is "one hundred fifty-seven billion, three hundred fifty-two million, six hundred thirty-three thousand, one hundred".