132864720 has 80 divisors (see below), whose sum is σ = 433573440. Its totient is φ = 33564672.

The previous prime is 132864713. The next prime is 132864727. The reversal of 132864720 is 27468231.

It is an interprime number because it is at equal distance from previous prime (132864713) and next prime (132864727).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132864727) 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, 10009 + ... + 19128.

It is an arithmetic number, because the mean of its divisors is an integer number (5419668).

Almost surely, 2^132864720 is an apocalyptic number.

132864720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132864720 is an abundant number, since it is smaller than the sum of its proper divisors (300708720).

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

132864720 is a wasteful number, since it uses less digits than its factorization.

132864720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29172 (or 29166 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 132864720 is about 11526.6959706587. The cubic root of 132864720 is about 510.2737476928.

The spelling of 132864720 in words is "one hundred thirty-two million, eight hundred sixty-four thousand, seven hundred twenty".