131262320 has 80 divisors (see below), whose sum is σ = 357352128. Its totient is φ = 43898880.

The previous prime is 131262293. The next prime is 131262367. The reversal of 131262320 is 23262131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131262292 and 131262301.

It is a congruent number.

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, 20102 + ... + 25818.

Almost surely, 2^131262320 is an apocalyptic number.

131262320 is a gapful number since it is divisible by the number (10) 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 131262320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178676064).

131262320 is an abundant number, since it is smaller than the sum of its proper divisors (226089808).

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

131262320 is a wasteful number, since it uses less digits than its factorization.

131262320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5778 (or 5772 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 131262320 is about 11456.9769136540. The cubic root of 131262320 is about 508.2140788663.

The spelling of 131262320 in words is "one hundred thirty-one million, two hundred sixty-two thousand, three hundred twenty".