132735456 has 192 divisors, whose sum is σ = 468840960. Its totient is φ = 35665920.

The previous prime is 132735437. The next prime is 132735457. The reversal of 132735456 is 654537231.

132735456 is a `hidden beast` number, since 132 + 73 + 5 + 456 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132735456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132735457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102171 + ... + 103461.

It is an arithmetic number, because the mean of its divisors is an integer number (2441880).

Almost surely, 2^132735456 is an apocalyptic number.

132735456 is a gapful number since it is divisible by the number (16) 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 132735456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234420480).

132735456 is an abundant number, since it is smaller than the sum of its proper divisors (336105504).

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

132735456 is a wasteful number, since it uses less digits than its factorization.

132735456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1320 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 132735456 is about 11521.0874486743. The cubic root of 132735456 is about 510.1082123319.

The spelling of 132735456 in words is "one hundred thirty-two million, seven hundred thirty-five thousand, four hundred fifty-six".