132815136 has 96 divisors (see below), whose sum is σ = 359251200. Its totient is φ = 42947840.

The previous prime is 132815107. The next prime is 132815143. The reversal of 132815136 is 631518231.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 741895 + ... + 742073.

It is an arithmetic number, because the mean of its divisors is an integer number (3742200).

Almost surely, 2^132815136 is an apocalyptic number.

132815136 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 132815136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179625600).

132815136 is an abundant number, since it is smaller than the sum of its proper divisors (226436064).

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

132815136 is a wasteful number, since it uses less digits than its factorization.

132815136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 374 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 132815136 is about 11524.5449367860. The cubic root of 132815136 is about 510.2102631661.

The spelling of 132815136 in words is "one hundred thirty-two million, eight hundred fifteen thousand, one hundred thirty-six".