152892 has 36 divisors (see below), whose sum is σ = 401856. Its totient is φ = 48960.

The previous prime is 152879. The next prime is 152897. The reversal of 152892 is 298251.

152892 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152897) by changing a digit.

152892 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1048 + ... + 1184.

2¹⁵²⁸⁹² is an apocalyptic number.

152892 is a gapful number since it is divisible by the number (12) 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 152892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200928).

152892 is an abundant number, since it is smaller than the sum of its proper divisors (248964).

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

152892 is a wasteful number, since it uses less digits than its factorization.

152892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 173 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 152892 is about 391.0140662431. The cubic root of 152892 is about 53.4722247884.

The spelling of 152892 in words is "one hundred fifty-two thousand, eight hundred ninety-two".