132813054 has 64 divisors (see below), whose sum is σ = 330727680. Its totient is φ = 39152160.

The previous prime is 132813053. The next prime is 132813089. The reversal of 132813054 is 450318231.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132813053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18957 + ... + 24999.

It is an arithmetic number, because the mean of its divisors is an integer number (5167620).

Almost surely, 2^132813054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132813054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165363840).

132813054 is an abundant number, since it is smaller than the sum of its proper divisors (197914626).

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

132813054 is a wasteful number, since it uses less digits than its factorization.

132813054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6102 (or 6096 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 132813054 is about 11524.4546074858. The cubic root of 132813054 is about 510.2075971463.

The spelling of 132813054 in words is "one hundred thirty-two million, eight hundred thirteen thousand, fifty-four".