152164 has 12 divisors (see below), whose sum is σ = 269500. Its totient is φ = 75168.

The previous prime is 152147. The next prime is 152183. The reversal of 152164 is 461251.

152164 = T₃₁₇ + T₃₁₈ + T₃₁₉.

It can be written as a sum of positive squares in 2 ways, for example, as 108900 + 43264 = 330^2 + 208^2 .

It is an Ulam number.

It is an unprimeable number.

152164 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, 262 + ... + 610.

2¹⁵²¹⁶⁴ is an apocalyptic number.

152164 is the 319-th centered triangular number.

It is an amenable number.

152164 is a deficient number, since it is larger than the sum of its proper divisors (117336).

152164 is a wasteful number, since it uses less digits than its factorization.

152164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 460 counting only the distinct ones).

The product of its digits is 240, while the sum is 19.

The square root of 152164 is about 390.0820426526. The cubic root of 152164 is about 53.3872198418.

It can be divided in two parts, 1521 and 64, that multiplied together give a square (97344 = 312²).

The spelling of 152164 in words is "one hundred fifty-two thousand, one hundred sixty-four".