158752 has 36 divisors (see below), whose sum is σ = 351918. Its totient is φ = 70400.

The previous prime is 158749. The next prime is 158759. The reversal of 158752 is 257851.

158752 = 13³ + 14³ + ... + 28³.

It can be written as a sum of positive squares in only one way, i.e., 156816 + 1936 = 396^2 + 44^2 .

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 158752.

It is not an unprimeable number, because it can be changed into a prime (158759) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3852 + ... + 3892.

2¹⁵⁸⁷⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 158752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175959).

158752 is an abundant number, since it is smaller than the sum of its proper divisors (193166).

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

158752 is a wasteful number, since it uses less digits than its factorization.

158752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 54 counting only the distinct ones).

The product of its digits is 2800, while the sum is 28.

The square root of 158752 is about 398.4369460780. The cubic root of 158752 is about 54.1468340280.

Subtracting 158752 from its reverse (257851), we obtain a palindrome (99099).

The spelling of 158752 in words is "one hundred fifty-eight thousand, seven hundred fifty-two".