132148800 has 672 divisors, whose sum is σ = 604723200. Its totient is φ = 27371520.

The previous prime is 132148799. The next prime is 132148817. The reversal of 132148800 is 8841231.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5745589 + ... + 5745611.

Almost surely, 2^132148800 is an apocalyptic number.

132148800 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 132148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302361600).

132148800 is an abundant number, since it is smaller than the sum of its proper divisors (472574400).

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

132148800 is a wasteful number, since it uses less digits than its factorization.

132148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 59 counting only the distinct ones).

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

The square root of 132148800 is about 11495.5991579387. The cubic root of 132148800 is about 509.3555874770.

The spelling of 132148800 in words is "one hundred thirty-two million, one hundred forty-eight thousand, eight hundred".