132765700 has 36 divisors (see below), whose sum is σ = 288926820. Its totient is φ = 52954240.

The previous prime is 132765691. The next prime is 132765709. The reversal of 132765700 is 7567231.

It is an interprime number because it is at equal distance from previous prime (132765691) and next prime (132765709).

It can be written as a sum of positive squares in 6 ways, for example, as 9216 + 132756484 = 96^2 + 11522^2 .

It is not an unprimeable number, because it can be changed into a prime (132765709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37194 + ... + 40606.

It is an arithmetic number, because the mean of its divisors is an integer number (8025745).

Almost surely, 2^132765700 is an apocalyptic number.

132765700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132765700 is an abundant number, since it is smaller than the sum of its proper divisors (156161120).

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

132765700 is a wasteful number, since it uses less digits than its factorization.

132765700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3816 (or 3809 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 132765700 is about 11522.3999236270. The cubic root of 132765700 is about 510.1469523984.

The spelling of 132765700 in words is "one hundred thirty-two million, seven hundred sixty-five thousand, seven hundred".