132257760 has 96 divisors (see below), whose sum is σ = 423535392. Its totient is φ = 34682880.

The previous prime is 132257753. The next prime is 132257779. The reversal of 132257760 is 67752231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27022 + ... + 31538.

It is an arithmetic number, because the mean of its divisors is an integer number (4411827).

Almost surely, 2^132257760 is an apocalyptic number.

132257760 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 132257760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211767696).

132257760 is an abundant number, since it is smaller than the sum of its proper divisors (291277632).

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

132257760 is a wasteful number, since it uses less digits than its factorization.

132257760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4596 (or 4588 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 132257760 is about 11500.3373863552. The cubic root of 132257760 is about 509.4955411713.

The spelling of 132257760 in words is "one hundred thirty-two million, two hundred fifty-seven thousand, seven hundred sixty".