132756008 has 64 divisors (see below), whose sum is σ = 315515520. Its totient is φ = 50860800.

The previous prime is 132755999. The next prime is 132756017. The reversal of 132756008 is 800657231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132755999) and next prime (132756017).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35810 + ... + 39342.

It is an arithmetic number, because the mean of its divisors is an integer number (4929930).

Almost surely, 2^132756008 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 132756008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157757760).

132756008 is an abundant number, since it is smaller than the sum of its proper divisors (182759512).

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

132756008 is a wasteful number, since it uses less digits than its factorization.

132756008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3618 (or 3614 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 132756008 is about 11521.9793438454. The cubic root of 132756008 is about 510.1345383874.

The spelling of 132756008 in words is "one hundred thirty-two million, seven hundred fifty-six thousand, eight".