132794480 has 320 divisors, whose sum is σ = 427472640. Its totient is φ = 37158912.

The previous prime is 132794461. The next prime is 132794489. The reversal of 132794480 is 84497231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132794489) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3589022 + ... + 3589058.

It is an arithmetic number, because the mean of its divisors is an integer number (1335852).

Almost surely, 2^132794480 is an apocalyptic number.

132794480 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 132794480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213736320).

132794480 is an abundant number, since it is smaller than the sum of its proper divisors (294678160).

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

132794480 is a wasteful number, since it uses less digits than its factorization.

132794480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 132794480 is about 11523.6487277251. The cubic root of 132794480 is about 510.1838117391.

The spelling of 132794480 in words is "one hundred thirty-two million, seven hundred ninety-four thousand, four hundred eighty".