164632152 has 32 divisors (see below), whose sum is σ = 411998400. Its totient is φ = 54821664.

The previous prime is 164632147. The next prime is 164632157. The reversal of 164632152 is 251236461.

It is an interprime number because it is at equal distance from previous prime (164632147) and next prime (164632157).

It is a super-2 number, since 2×164632152² = 54207490944302208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164632157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25599 + ... + 31377.

It is an arithmetic number, because the mean of its divisors is an integer number (12874950).

Almost surely, 2^164632152 is an apocalyptic number.

164632152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164632152 is an abundant number, since it is smaller than the sum of its proper divisors (247366248).

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

164632152 is a wasteful number, since it uses less digits than its factorization.

164632152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6975 (or 6971 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 164632152 is about 12830.9061254457. The cubic root of 164632152 is about 548.0727610421.

The spelling of 164632152 in words is "one hundred sixty-four million, six hundred thirty-two thousand, one hundred fifty-two".