131417664 has 112 divisors (see below), whose sum is σ = 399946368. Its totient is φ = 37306368.

The previous prime is 131417659. The next prime is 131417677. The reversal of 131417664 is 466714131.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×131417664² = 34541204822433792, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372112 + ... + 372464.

Almost surely, 2^131417664 is an apocalyptic number.

131417664 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 131417664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199973184).

131417664 is an abundant number, since it is smaller than the sum of its proper divisors (268528704).

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

131417664 is a wasteful number, since it uses less digits than its factorization.

131417664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 642 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 131417664 is about 11463.7543588477. The cubic root of 131417664 is about 508.4144838881.

The spelling of 131417664 in words is "one hundred thirty-one million, four hundred seventeen thousand, six hundred sixty-four".