132427008 has 432 divisors, whose sum is σ = 503314560. Its totient is φ = 34062336.

The previous prime is 132426977. The next prime is 132427013. The reversal of 132427008 is 800724231.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5757685 + ... + 5757707.

It is an arithmetic number, because the mean of its divisors is an integer number (1165080).

Almost surely, 2^132427008 is an apocalyptic number.

132427008 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 132427008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251657280).

132427008 is an abundant number, since it is smaller than the sum of its proper divisors (370887552).

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

132427008 is a wasteful number, since it uses less digits than its factorization.

132427008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 132427008 is about 11507.6934265734. The cubic root of 132427008 is about 509.7127794507.

The spelling of 132427008 in words is "one hundred thirty-two million, four hundred twenty-seven thousand, eight".