131937456 has 80 divisors (see below), whose sum is σ = 391586048. Its totient is φ = 37497600.

The previous prime is 131937451. The next prime is 131937461. The reversal of 131937456 is 654739131.

It is an interprime number because it is at equal distance from previous prime (131937451) and next prime (131937461).

It is a super-3 number, since 3×131937456³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (131937451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69966 + ... + 71826.

Almost surely, 2^131937456 is an apocalyptic number.

131937456 is a gapful number since it is divisible by the number (16) 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 131937456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195793024).

131937456 is an abundant number, since it is smaller than the sum of its proper divisors (259648592).

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

131937456 is a wasteful number, since it uses less digits than its factorization.

131937456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2084 counting only the distinct ones).

The product of its digits is 68040, while the sum is 39.

The square root of 131937456 is about 11486.4030923523. The cubic root of 131937456 is about 509.0839071548.

The spelling of 131937456 in words is "one hundred thirty-one million, nine hundred thirty-seven thousand, four hundred fifty-six".