132351516 has 96 divisors (see below), whose sum is σ = 384572160. Its totient is φ = 39009600.

The previous prime is 132351509. The next prime is 132351523. The reversal of 132351516 is 615153231.

132351516 is a `hidden beast` number, since 132 + 3 + 515 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (132351509) and next prime (132351523).

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 132351516.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42451 + ... + 45461.

It is an arithmetic number, because the mean of its divisors is an integer number (4005960).

Almost surely, 2^132351516 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 132351516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192286080).

132351516 is an abundant number, since it is smaller than the sum of its proper divisors (252220644).

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

132351516 is a wasteful number, since it uses less digits than its factorization.

132351516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 3064 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 132351516 is about 11504.4128924513. The cubic root of 132351516 is about 509.6159045711.

The spelling of 132351516 in words is "one hundred thirty-two million, three hundred fifty-one thousand, five hundred sixteen".