132793056 has 144 divisors (see below), whose sum is σ = 416078208. Its totient is φ = 39840000.

The previous prime is 132793049. The next prime is 132793079. The reversal of 132793056 is 650397231.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 132793056.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 528931 + ... + 529181.

It is an arithmetic number, because the mean of its divisors is an integer number (2889432).

Almost surely, 2^132793056 is an apocalyptic number.

132793056 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 132793056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208039104).

132793056 is an abundant number, since it is smaller than the sum of its proper divisors (283285152).

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

132793056 is a wasteful number, since it uses less digits than its factorization.

132793056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 132793056 is about 11523.5869415734. The cubic root of 132793056 is about 510.1819881083.

The spelling of 132793056 in words is "one hundred thirty-two million, seven hundred ninety-three thousand, fifty-six".