157046824200 has 192 divisors, whose sum is σ = 556605803520. Its totient is φ = 35882784000.

The previous prime is 157046824153. The next prime is 157046824223. The reversal of 157046824200 is 2428640751.

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, 14656845 + ... + 14667555.

It is an arithmetic number, because the mean of its divisors is an integer number (2898988560).

Almost surely, 2^157046824200 is an apocalyptic number.

157046824200 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 157046824200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278302901760).

157046824200 is an abundant number, since it is smaller than the sum of its proper divisors (399558979320).

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

157046824200 is a wasteful number, since it uses less digits than its factorization.

157046824200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14228 (or 14219 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 157046824200 in words is "one hundred fifty-seven billion, forty-six million, eight hundred twenty-four thousand, two hundred".