132542880 has 192 divisors, whose sum is σ = 455051520. Its totient is φ = 32292864.

The previous prime is 132542869. The next prime is 132542903. The reversal of 132542880 is 88245231.

132542880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301701 + ... + 302139.

It is an arithmetic number, because the mean of its divisors is an integer number (2370060).

Almost surely, 2^132542880 is an apocalyptic number.

132542880 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 132542880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227525760).

132542880 is an abundant number, since it is smaller than the sum of its proper divisors (322508640).

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

132542880 is a wasteful number, since it uses less digits than its factorization.

132542880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 132542880 is about 11512.7268707288. The cubic root of 132542880 is about 509.8614002455.

The spelling of 132542880 in words is "one hundred thirty-two million, five hundred forty-two thousand, eight hundred eighty".