132357540 has 96 divisors (see below), whose sum is σ = 426553344. Its totient is φ = 30038400.

The previous prime is 132357539. The next prime is 132357551. The reversal of 132357540 is 45753231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 132357498 and 132357507.

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, 62377 + ... + 64463.

It is an arithmetic number, because the mean of its divisors is an integer number (4443264).

Almost surely, 2^132357540 is an apocalyptic number.

132357540 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 132357540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213276672).

132357540 is an abundant number, since it is smaller than the sum of its proper divisors (294195804).

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

132357540 is a wasteful number, since it uses less digits than its factorization.

132357540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 132357540 is about 11504.6747020505. The cubic root of 132357540 is about 509.6236362031.

The spelling of 132357540 in words is "one hundred thirty-two million, three hundred fifty-seven thousand, five hundred forty".