132975360 has 432 divisors, whose sum is σ = 562476096. Its totient is φ = 28311552.

The previous prime is 132975331. The next prime is 132975383. The reversal of 132975360 is 63579231.

132975360 is a `hidden beast` number, since 1 + 3 + 297 + 5 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1370832 + ... + 1370928.

It is an arithmetic number, because the mean of its divisors is an integer number (1302028).

Almost surely, 2^132975360 is an apocalyptic number.

132975360 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 132975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281238048).

132975360 is an abundant number, since it is smaller than the sum of its proper divisors (429500736).

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

132975360 is a wasteful number, since it uses less digits than its factorization.

132975360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 132975360 is about 11531.4942657056. The cubic root of 132975360 is about 510.4153479201.

The spelling of 132975360 in words is "one hundred thirty-two million, nine hundred seventy-five thousand, three hundred sixty".