131249664 has 240 divisors, whose sum is σ = 467699232. Its totient is φ = 34504704.

The previous prime is 131249659. The next prime is 131249683. The reversal of 131249664 is 466942131.

It is a super-2 number, since 2×131249664² = 34452948600225792, which contains 22 as substring.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419172 + ... + 419484.

Almost surely, 2^131249664 is an apocalyptic number.

131249664 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 131249664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233849616).

131249664 is an abundant number, since it is smaller than the sum of its proper divisors (336449568).

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

131249664 is a wasteful number, since it uses less digits than its factorization.

131249664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 338 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 131249664 is about 11456.4245731380. The cubic root of 131249664 is about 508.1977447446.

The spelling of 131249664 in words is "one hundred thirty-one million, two hundred forty-nine thousand, six hundred sixty-four".