157938000 has 160 divisors (see below), whose sum is σ = 555714432. Its totient is φ = 38272000.

The previous prime is 157937981. The next prime is 157938023. The reversal of 157938000 is 839751.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64804 + ... + 67196.

Almost surely, 2^157938000 is an apocalyptic number.

157938000 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 157938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277857216).

157938000 is an abundant number, since it is smaller than the sum of its proper divisors (397776432).

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

157938000 is a wasteful number, since it uses less digits than its factorization.

157938000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 157938000 is about 12567.3386204081. The cubic root of 157938000 is about 540.5412953593.

The spelling of 157938000 in words is "one hundred fifty-seven million, nine hundred thirty-eight thousand".