132974720 has 64 divisors (see below), whose sum is σ = 319996440. Its totient is φ = 52838400.

The previous prime is 132974713. The next prime is 132974729. The reversal of 132974720 is 27479231.

It can be written as a sum of positive squares in 4 ways, for example, as 91087936 + 41886784 = 9544^2 + 6472^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (132974729) 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, 110120 + ... + 111320.

Almost surely, 2^132974720 is an apocalyptic number.

132974720 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 132974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159998220).

132974720 is an abundant number, since it is smaller than the sum of its proper divisors (187021720).

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

132974720 is a wasteful number, since it uses less digits than its factorization.

132974720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 132974720 is about 11531.4665155825. The cubic root of 132974720 is about 510.4145290558.

The spelling of 132974720 in words is "one hundred thirty-two million, nine hundred seventy-four thousand, seven hundred twenty".