131267664 has 120 divisors (see below), whose sum is σ = 406224000. Its totient is φ = 39237120.

The previous prime is 131267657. The next prime is 131267683. The reversal of 131267664 is 466762131.

It is a happy number.

It is a super-2 number, since 2×131267664² = 34462399224033792, which contains 22 as substring.

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

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, 124612 + ... + 125660.

It is an arithmetic number, because the mean of its divisors is an integer number (3385200).

Almost surely, 2^131267664 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 131267664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203112000).

131267664 is an abundant number, since it is smaller than the sum of its proper divisors (274956336).

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

131267664 is a wasteful number, since it uses less digits than its factorization.

131267664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1144 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 131267664 is about 11457.2101316158. The cubic root of 131267664 is about 508.2209756390.

The spelling of 131267664 in words is "one hundred thirty-one million, two hundred sixty-seven thousand, six hundred sixty-four".