157932000 has 288 divisors, whose sum is σ = 579537504. Its totient is φ = 40704000.

The previous prime is 157931951. The next prime is 157932001. The reversal of 157932000 is 239751.

157932000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157932001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1475947 + ... + 1476053.

It is an arithmetic number, because the mean of its divisors is an integer number (2012283).

Almost surely, 2^157932000 is an apocalyptic number.

157932000 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 157932000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289768752).

157932000 is an abundant number, since it is smaller than the sum of its proper divisors (421605504).

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

157932000 is a wasteful number, since it uses less digits than its factorization.

157932000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 157932000 is about 12567.0999041147. The cubic root of 157932000 is about 540.5344502917.

The spelling of 157932000 in words is "one hundred fifty-seven million, nine hundred thirty-two thousand".