132885753 has 128 divisors (see below), whose sum is σ = 267079680. Its totient is φ = 56401920.

The previous prime is 132885749. The next prime is 132885757. The reversal of 132885753 is 357588231.

132885753 is a nontrivial binomial coefficient, being equal to C(16303, 2).

It is an interprime number because it is at equal distance from previous prime (132885749) and next prime (132885757).

It is not a de Polignac number, because 132885753 - 2² = 132885749 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132885757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 969901 + ... + 970037.

It is an arithmetic number, because the mean of its divisors is an integer number (2086560).

Almost surely, 2^132885753 is an apocalyptic number.

132885753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

132885753 is the 16302-nd triangular number.

It is an amenable number.

132885753 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

132885753 is a wasteful number, since it uses less digits than its factorization.

132885753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207.

The product of its digits is 201600, while the sum is 42.

The square root of 132885753 is about 11527.6082948719. The cubic root of 132885753 is about 510.3006723759.

The spelling of 132885753 in words is "one hundred thirty-two million, eight hundred eighty-five thousand, seven hundred fifty-three".