131199264 has 180 divisors, whose sum is σ = 449284374. Its totient is φ = 37449216.

The previous prime is 131199253. The next prime is 131199281. The reversal of 131199264 is 462991131.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 77792400 + 53406864 = 8820^2 + 7308^2 .

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 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 29 ways as a sum of consecutive naturals, for example, 126492 + ... + 127524.

Almost surely, 2^131199264 is an apocalyptic number.

131199264 is a gapful number since it is divisible by the number (14) 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 131199264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224642187).

131199264 is an abundant number, since it is smaller than the sum of its proper divisors (318085110).

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

131199264 is a wasteful number, since it uses less digits than its factorization.

131199264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1045 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 131199264 is about 11454.2247227824. The cubic root of 131199264 is about 508.1326869386.

The spelling of 131199264 in words is "one hundred thirty-one million, one hundred ninety-nine thousand, two hundred sixty-four".