132553416 has 64 divisors (see below), whose sum is σ = 347212800. Its totient is φ = 42090048.

The previous prime is 132553409. The next prime is 132553433. The reversal of 132553416 is 614355231.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242055 + ... + 242601.

It is an arithmetic number, because the mean of its divisors is an integer number (5425200).

Almost surely, 2^132553416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132553416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173606400).

132553416 is an abundant number, since it is smaller than the sum of its proper divisors (214659384).

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

132553416 is a wasteful number, since it uses less digits than its factorization.

132553416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1014 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 132553416 is about 11513.1844421950. The cubic root of 132553416 is about 509.8749097285.

The spelling of 132553416 in words is "one hundred thirty-two million, five hundred fifty-three thousand, four hundred sixteen".