131289264 has 120 divisors (see below), whose sum is σ = 384462000. Its totient is φ = 41771520.

The previous prime is 131289251. The next prime is 131289269. The reversal of 131289264 is 462982131.

131289264 is a `hidden beast` number, since 1 + 312 + 89 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131289269) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 622119 + ... + 622329.

It is an arithmetic number, because the mean of its divisors is an integer number (3203850).

Almost surely, 2^131289264 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 131289264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192231000).

131289264 is an abundant number, since it is smaller than the sum of its proper divisors (253172736).

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

131289264 is a wasteful number, since it uses less digits than its factorization.

131289264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 394 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 131289264 is about 11458.1527306979. The cubic root of 131289264 is about 508.2488499093.

The spelling of 131289264 in words is "one hundred thirty-one million, two hundred eighty-nine thousand, two hundred sixty-four".