157938 has 16 divisors (see below), whose sum is σ = 344736. Its totient is φ = 47840.

The previous prime is 157933. The next prime is 157951. The reversal of 157938 is 839751.

157938 is digitally balanced in base 2, 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 (33).

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 157899 and 157908.

It is not an unprimeable number, because it can be changed into a prime (157931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1131 + ... + 1262.

It is an arithmetic number, because the mean of its divisors is an integer number (21546).

2¹⁵⁷⁹³⁸ is an apocalyptic number.

157938 is an abundant number, since it is smaller than the sum of its proper divisors (186798).

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

157938 is a wasteful number, since it uses less digits than its factorization.

157938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409.

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

The square root of 157938 is about 397.4141416709. The cubic root of 157938 is about 54.0541295359.

The spelling of 157938 in words is "one hundred fifty-seven thousand, nine hundred thirty-eight".