152264 has 16 divisors (see below), whose sum is σ = 326400. Its totient is φ = 65232.

The previous prime is 152249. The next prime is 152267. The reversal of 152264 is 462251.

It is a happy number.

It is a nialpdrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 152264.

It is not an unprimeable number, because it can be changed into a prime (152267) by changing a digit.

152264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1304 + ... + 1415.

It is an arithmetic number, because the mean of its divisors is an integer number (20400).

2¹⁵²²⁶⁴ is an apocalyptic number.

152264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

152264 is an abundant number, since it is smaller than the sum of its proper divisors (174136).

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

152264 is a wasteful number, since it uses less digits than its factorization.

152264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2728 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 152264 is about 390.2101997642. The cubic root of 152264 is about 53.3989123860.

The spelling of 152264 in words is "one hundred fifty-two thousand, two hundred sixty-four".