131807040 has 224 divisors, whose sum is σ = 446324736. Its totient is φ = 32901120.

The previous prime is 131807033. The next prime is 131807057. The reversal of 131807040 is 40708131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131807040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1279629 + ... + 1279731.

Almost surely, 2^131807040 is an apocalyptic number.

131807040 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 131807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223162368).

131807040 is an abundant number, since it is smaller than the sum of its proper divisors (314517696).

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

131807040 is a wasteful number, since it uses less digits than its factorization.

131807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 131807040 is about 11480.7247158008. The cubic root of 131807040 is about 508.9161140793.

The spelling of 131807040 in words is "one hundred thirty-one million, eight hundred seven thousand, forty".