132407424 has 96 divisors (see below), whose sum is σ = 403488540. Its totient is φ = 41533440.

The previous prime is 132407399. The next prime is 132407437. The reversal of 132407424 is 424704231.

It can be written as a sum of positive squares in 2 ways, for example, as 120297024 + 12110400 = 10968^2 + 3480^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16204 + ... + 22964.

Almost surely, 2^132407424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132407424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201744270).

132407424 is an abundant number, since it is smaller than the sum of its proper divisors (271081116).

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

132407424 is a wasteful number, since it uses less digits than its factorization.

132407424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6798 (or 6783 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 132407424 is about 11506.8424861036. The cubic root of 132407424 is about 509.6876518795.

The spelling of 132407424 in words is "one hundred thirty-two million, four hundred seven thousand, four hundred twenty-four".