132113280 has 256 divisors, whose sum is σ = 466099200. Its totient is φ = 31629312.

The previous prime is 132113279. The next prime is 132113281. The reversal of 132113280 is 82311231.

It is an interprime number because it is at equal distance from previous prime (132113279) and next prime (132113281).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132113281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1672281 + ... + 1672359.

It is an arithmetic number, because the mean of its divisors is an integer number (1820700).

Almost surely, 2^132113280 is an apocalyptic number.

132113280 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 132113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233049600).

132113280 is an abundant number, since it is smaller than the sum of its proper divisors (333985920).

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

132113280 is a wasteful number, since it uses less digits than its factorization.

132113280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 132113280 is about 11494.0541150631. The cubic root of 132113280 is about 509.3099471794.

The spelling of 132113280 in words is "one hundred thirty-two million, one hundred thirteen thousand, two hundred eighty".