132814080 has 432 divisors, whose sum is σ = 553547904. Its totient is φ = 29859840.

The previous prime is 132814061. The next prime is 132814093. The reversal of 132814080 is 80418231.

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, 2177250 + ... + 2177310.

Almost surely, 2^132814080 is an apocalyptic number.

132814080 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 132814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276773952).

132814080 is an abundant number, since it is smaller than the sum of its proper divisors (420733824).

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

132814080 is an frugal number, since it uses more digits than its factorization.

132814080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 132814080 is about 11524.4991214369. The cubic root of 132814080 is about 510.2089109521.

The spelling of 132814080 in words is "one hundred thirty-two million, eight hundred fourteen thousand, eighty".