132792408 has 96 divisors (see below), whose sum is σ = 422192160. Its totient is φ = 36910080.

The previous prime is 132792391. The next prime is 132792427. The reversal of 132792408 is 804297231.

132792408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 15088 + ... + 22208.

It is an arithmetic number, because the mean of its divisors is an integer number (4397835).

Almost surely, 2^132792408 is an apocalyptic number.

132792408 is a gapful number since it is divisible by the number (18) 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 132792408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211096080).

132792408 is an abundant number, since it is smaller than the sum of its proper divisors (289399752).

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

132792408 is a wasteful number, since it uses less digits than its factorization.

132792408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7177 (or 7170 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 132792408 is about 11523.5588252935. The cubic root of 132792408 is about 510.1811582494.

The spelling of 132792408 in words is "one hundred thirty-two million, seven hundred ninety-two thousand, four hundred eight".