132210816 has 64 divisors (see below), whose sum is σ = 369688800. Its totient is φ = 41748480.

The previous prime is 132210769. The next prime is 132210821. The reversal of 132210816 is 618012231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1765 + ... + 16356.

Almost surely, 2^132210816 is an apocalyptic number.

132210816 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 132210816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184844400).

132210816 is an abundant number, since it is smaller than the sum of its proper divisors (237477984).

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

132210816 is a wasteful number, since it uses less digits than its factorization.

132210816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18157 (or 18145 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 132210816 is about 11498.2962216147. The cubic root of 132210816 is about 509.4352533690.

The spelling of 132210816 in words is "one hundred thirty-two million, two hundred ten thousand, eight hundred sixteen".