132813680 has 40 divisors (see below), whose sum is σ = 309355200. Its totient is φ = 53028608.

The previous prime is 132813647. The next prime is 132813689. The reversal of 132813680 is 86318231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132813689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56366 + ... + 58674.

It is an arithmetic number, because the mean of its divisors is an integer number (7733880).

Almost surely, 2^132813680 is an apocalyptic number.

132813680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132813680 is an abundant number, since it is smaller than the sum of its proper divisors (176541520).

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

132813680 is a wasteful number, since it uses less digits than its factorization.

132813680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 132813680 is about 11524.4817670904. The cubic root of 132813680 is about 510.2083987479.

It can be divided in two parts, 13281 and 3680, that added together give a palindrome (16961).

The spelling of 132813680 in words is "one hundred thirty-two million, eight hundred thirteen thousand, six hundred eighty".