157113772200 has 1920 divisors, whose sum is σ = 746695065600. Its totient is φ = 29611008000.

The previous prime is 157113772181. The next prime is 157113772219. The reversal of 157113772200 is 2277311751.

It is a happy number.

157113772200 is a `hidden beast` number, since 1 + 57 + 11 + 377 + 220 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (157113772181) and next prime (157113772219).

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

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 479 ways as a sum of consecutive naturals, for example, 657379681 + ... + 657379919.

It is an arithmetic number, because the mean of its divisors is an integer number (388903680).

Almost surely, 2^157113772200 is an apocalyptic number.

157113772200 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 157113772200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373347532800).

157113772200 is an abundant number, since it is smaller than the sum of its proper divisors (589581293400).

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

157113772200 is a wasteful number, since it uses less digits than its factorization.

157113772200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The spelling of 157113772200 in words is "one hundred fifty-seven billion, one hundred thirteen million, seven hundred seventy-two thousand, two hundred".