132753460 has 48 divisors (see below), whose sum is σ = 319737600. Its totient is φ = 45354240.

The previous prime is 132753443. The next prime is 132753547. The reversal of 132753460 is 64357231.

It is a super-2 number, since 2×132753460² = 35246962283943200, which contains 22 as substring.

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, 42016 + ... + 45064.

It is an arithmetic number, because the mean of its divisors is an integer number (6661200).

Almost surely, 2^132753460 is an apocalyptic number.

132753460 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 132753460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159868800).

132753460 is an abundant number, since it is smaller than the sum of its proper divisors (186984140).

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

132753460 is a wasteful number, since it uses less digits than its factorization.

132753460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3376 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 132753460 is about 11521.8687720352. The cubic root of 132753460 is about 510.1312746779.

The spelling of 132753460 in words is "one hundred thirty-two million, seven hundred fifty-three thousand, four hundred sixty".