132164500 has 48 divisors (see below), whose sum is σ = 310866192. Its totient is φ = 48796800.

The previous prime is 132164489. The next prime is 132164503. The reversal of 132164500 is 5461231.

It can be written as a sum of positive squares in 8 ways, for example, as 30316036 + 101848464 = 5506^2 + 10092^2 .

It is a super-3 number, since 3×132164500³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132164503) 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, 3667 + ... + 16666.

It is an arithmetic number, because the mean of its divisors is an integer number (6476379).

Almost surely, 2^132164500 is an apocalyptic number.

132164500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132164500 is an abundant number, since it is smaller than the sum of its proper divisors (178701692).

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

132164500 is a wasteful number, since it uses less digits than its factorization.

132164500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20365 (or 20353 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 132164500 is about 11496.2820076754. The cubic root of 132164500 is about 509.3757580879.

The spelling of 132164500 in words is "one hundred thirty-two million, one hundred sixty-four thousand, five hundred".