132765696 has 240 divisors, whose sum is σ = 458803800. Its totient is φ = 37933056.

The previous prime is 132765691. The next prime is 132765709. The reversal of 132765696 is 696567231.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

132765696 is a `hidden beast` number, since 13 + 2 + 76 + 569 + 6 = 666.

Its product of digits (408240) is a multiple of the sum of its prime divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132765691) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18966525 + ... + 18966531.

Almost surely, 2^132765696 is an apocalyptic number.

132765696 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 132765696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229401900).

132765696 is an abundant number, since it is smaller than the sum of its proper divisors (326038104).

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

132765696 is an frugal number, since it uses more digits than its factorization.

132765696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 12 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 132765696 is about 11522.3997500521. The cubic root of 132765696 is about 510.1469472751.

The spelling of 132765696 in words is "one hundred thirty-two million, seven hundred sixty-five thousand, six hundred ninety-six".