132653700 has 216 divisors, whose sum is σ = 443596608. Its totient is φ = 34369920.

The previous prime is 132653663. The next prime is 132653707. The reversal of 132653700 is 7356231.

It is a happy number.

132653700 is a `hidden beast` number, since 1 + 3 + 2 + 653 + 7 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132653707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1287849 + ... + 1287951.

It is an arithmetic number, because the mean of its divisors is an integer number (2053688).

Almost surely, 2^132653700 is an apocalyptic number.

132653700 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 132653700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221798304).

132653700 is an abundant number, since it is smaller than the sum of its proper divisors (310942908).

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

132653700 is a wasteful number, since it uses less digits than its factorization.

132653700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 132653700 is about 11517.5387995873. The cubic root of 132653700 is about 510.0034601841.

The spelling of 132653700 in words is "one hundred thirty-two million, six hundred fifty-three thousand, seven hundred".