132518656 has 36 divisors (see below), whose sum is σ = 269538192. Its totient is φ = 65002496.

The previous prime is 132518651. The next prime is 132518669. The reversal of 132518656 is 656815231.

It is a super-3 number, since 3×132518656³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (132518651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8685 + ... + 18451.

It is an arithmetic number, because the mean of its divisors is an integer number (7487172).

Almost surely, 2^132518656 is an apocalyptic number.

132518656 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 132518656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134769096).

132518656 is an abundant number, since it is smaller than the sum of its proper divisors (137019536).

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

132518656 is an frugal number, since it uses more digits than its factorization.

132518656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9836 (or 9822 counting only the distinct ones).

The product of its digits is 43200, while the sum is 37.

The square root of 132518656 is about 11511.6747695546. The cubic root of 132518656 is about 509.8303370025.

The spelling of 132518656 in words is "one hundred thirty-two million, five hundred eighteen thousand, six hundred fifty-six".