157107061520200 has 192 divisors, whose sum is σ = 408751781068800. Its totient is φ = 55667985158400.

The previous prime is 157107061520197. The next prime is 157107061520243. The reversal of 157107061520200 is 2025160701751.

157107061520200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 157107061520200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20125081 + ... + 26818519.

It is an arithmetic number, because the mean of its divisors is an integer number (2128915526400).

Almost surely, 2^{157107061520200} is an apocalyptic number.

157107061520200 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 157107061520200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204375890534400).

157107061520200 is an abundant number, since it is smaller than the sum of its proper divisors (251644719548600).

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

157107061520200 is a wasteful number, since it uses less digits than its factorization.

157107061520200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6693740 (or 6693731 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 37.

The spelling of 157107061520200 in words is "one hundred fifty-seven trillion, one hundred seven billion, sixty-one million, five hundred twenty thousand, two hundred".