157952 has 18 divisors (see below), whose sum is σ = 315798. Its totient is φ = 78848.

The previous prime is 157951. The next prime is 157991. The reversal of 157952 is 259751.

It can be written as a sum of positive squares in only one way, i.e., 92416 + 65536 = 304^2 + 256^2 .

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (157951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53 + ... + 564.

2¹⁵⁷⁹⁵² is an apocalyptic number.

It is an amenable number.

157952 is a deficient number, since it is larger than the sum of its proper divisors (157846).

157952 is an frugal number, since it uses more digits than its factorization.

157952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 619 counting only the distinct ones).

The product of its digits is 3150, while the sum is 29.

The square root of 157952 is about 397.4317551480. The cubic root of 157952 is about 54.0557266509.

The spelling of 157952 in words is "one hundred fifty-seven thousand, nine hundred fifty-two".