132131520 has 224 divisors, whose sum is σ = 478779840. Its totient is φ = 34283520.

The previous prime is 132131513. The next prime is 132131521. The reversal of 132131520 is 25131231.

132131520 is a `hidden beast` number, since 13 + 2 + 131 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132131493 and 132131502.

It is not an unprimeable number, because it can be changed into a prime (132131521) 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 31 ways as a sum of consecutive naturals, for example, 354054 + ... + 354426.

It is an arithmetic number, because the mean of its divisors is an integer number (2137410).

Almost surely, 2^132131520 is an apocalyptic number.

132131520 is a gapful number since it is divisible by the number (10) 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 132131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239389920).

132131520 is an abundant number, since it is smaller than the sum of its proper divisors (346648320).

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

132131520 is a wasteful number, since it uses less digits than its factorization.

132131520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 132131520 is about 11494.8475413987. The cubic root of 132131520 is about 509.3333851107. Note that the first 4 decimals are identical.

Adding to 132131520 its reverse (25131231), we get a palindrome (157262751).

It can be divided in two parts, 132131 and 520, that added together give a cube (132651 = 51³).

The spelling of 132131520 in words is "one hundred thirty-two million, one hundred thirty-one thousand, five hundred twenty".