157927200 has 144 divisors (see below), whose sum is σ = 536590656. Its totient is φ = 40268800.

The previous prime is 157927169. The next prime is 157927201. The reversal of 157927200 is 2729751.

It is not an unprimeable number, because it can be changed into a prime (157927201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53770 + ... + 56630.

It is an arithmetic number, because the mean of its divisors is an integer number (3726324).

Almost surely, 2^157927200 is an apocalyptic number.

157927200 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 157927200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268295328).

157927200 is an abundant number, since it is smaller than the sum of its proper divisors (378663456).

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

157927200 is a wasteful number, since it uses less digits than its factorization.

157927200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2907 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 157927200 is about 12566.9089278151. The cubic root of 157927200 is about 540.5289741129.

The spelling of 157927200 in words is "one hundred fifty-seven million, nine hundred twenty-seven thousand, two hundred".