157696200 has 384 divisors, whose sum is σ = 602640000. Its totient is φ = 37739520.

The previous prime is 157696177. The next prime is 157696207. The reversal of 157696200 is 2696751.

157696200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (157696207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2975374 + ... + 2975426.

It is an arithmetic number, because the mean of its divisors is an integer number (1569375).

Almost surely, 2^157696200 is an apocalyptic number.

157696200 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 157696200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301320000).

157696200 is an abundant number, since it is smaller than the sum of its proper divisors (444943800).

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

157696200 is a wasteful number, since it uses less digits than its factorization.

157696200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 157696200 is about 12557.7147602579. The cubic root of 157696200 is about 540.2653017348.

The spelling of 157696200 in words is "one hundred fifty-seven million, six hundred ninety-six thousand, two hundred".