132157116 has 288 divisors, whose sum is σ = 458498880. Its totient is φ = 32514048.

The previous prime is 132157097. The next prime is 132157117. The reversal of 132157116 is 611751231.

132157116 = 374² + 375² + ... + 765².

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

It is a self number, because there is not a number n which added to its sum of digits gives 132157116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132157117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1169476 + ... + 1169588.

It is an arithmetic number, because the mean of its divisors is an integer number (1592010).

Almost surely, 2^132157116 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 132157116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229249440).

132157116 is an abundant number, since it is smaller than the sum of its proper divisors (326341764).

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

132157116 is a wasteful number, since it uses less digits than its factorization.

132157116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 132157116 is about 11495.9608558833. The cubic root of 132157116 is about 509.3662716760.

The spelling of 132157116 in words is "one hundred thirty-two million, one hundred fifty-seven thousand, one hundred sixteen".