152874 has 32 divisors (see below), whose sum is σ = 360000. Its totient is φ = 47952.

The previous prime is 152857. The next prime is 152879. The reversal of 152874 is 478251.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 152874.

It is not an unprimeable number, because it can be changed into a prime (152879) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 952 + ... + 1100.

It is an arithmetic number, because the mean of its divisors is an integer number (11250).

2¹⁵²⁸⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180000).

152874 is an abundant number, since it is smaller than the sum of its proper divisors (207126).

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

152874 is a wasteful number, since it uses less digits than its factorization.

152874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 152874 is about 390.9910484909. The cubic root of 152874 is about 53.4701262748.

The spelling of 152874 in words is "one hundred fifty-two thousand, eight hundred seventy-four".