131971392 has 168 divisors, whose sum is σ = 439350912. Its totient is φ = 37094400.

The previous prime is 131971381. The next prime is 131971393. The reversal of 131971392 is 293179131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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 not an unprimeable number, because it can be changed into a prime (131971393) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286042 + ... + 286502.

It is an arithmetic number, because the mean of its divisors is an integer number (2615184).

Almost surely, 2^131971392 is an apocalyptic number.

131971392 is a gapful number since it is divisible by the number (12) 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 131971392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219675456).

131971392 is an abundant number, since it is smaller than the sum of its proper divisors (307379520).

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

131971392 is a wasteful number, since it uses less digits than its factorization.

131971392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 544 counting only the distinct ones).

The product of its digits is 10206, while the sum is 36.

The square root of 131971392 is about 11487.8802222168. The cubic root of 131971392 is about 509.1275510423.

The spelling of 131971392 in words is "one hundred thirty-one million, nine hundred seventy-one thousand, three hundred ninety-two".