132567700 has 72 divisors (see below), whose sum is σ = 315214200. Its totient is φ = 48168960.

The previous prime is 132567641. The next prime is 132567733. The reversal of 132567700 is 7765231.

It can be written as a sum of positive squares in 12 ways, for example, as 51351556 + 81216144 = 7166^2 + 9012^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47956 + ... + 50644.

It is an arithmetic number, because the mean of its divisors is an integer number (4377975).

Almost surely, 2^132567700 is an apocalyptic number.

132567700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132567700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157607100).

132567700 is an abundant number, since it is smaller than the sum of its proper divisors (182646500).

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

132567700 is a wasteful number, since it uses less digits than its factorization.

132567700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 132567700 is about 11513.8047577680. The cubic root of 132567700 is about 509.8932238337.

The spelling of 132567700 in words is "one hundred thirty-two million, five hundred sixty-seven thousand, seven hundred".