157155513300 has 324 divisors, whose sum is σ = 510069580020. Its totient is φ = 40468377600.

The previous prime is 157155513287. The next prime is 157155513329. The reversal of 157155513300 is 3315551751.

157155513300 is a `hidden beast` number, since 1 + 5 + 71 + 5 + 551 + 3 + 30 + 0 = 666.

157155513300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 18 ways, for example, as 154152034884 + 3003478416 = 392622^2 + 54804^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 164905624 + ... + 164906576.

Almost surely, 2^157155513300 is an apocalyptic number.

157155513300 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 157155513300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255034790010).

157155513300 is an abundant number, since it is smaller than the sum of its proper divisors (352914066720).

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

157155513300 is a wasteful number, since it uses less digits than its factorization.

157155513300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 39375, while the sum is 36.

The spelling of 157155513300 in words is "one hundred fifty-seven billion, one hundred fifty-five million, five hundred thirteen thousand, three hundred".