131990040 has 512 divisors, whose sum is σ = 580608000. Its totient is φ = 25878528.

The previous prime is 131989997. The next prime is 131990069. The reversal of 131990040 is 40099131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131989986 and 131990013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1670721 + ... + 1670799.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 2^131990040 is an apocalyptic number.

131990040 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 131990040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304000).

131990040 is an abundant number, since it is smaller than the sum of its proper divisors (448617960).

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

131990040 is a wasteful number, since it uses less digits than its factorization.

131990040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 131990040 is about 11488.6918315359. The cubic root of 131990040 is about 509.1515303893.

The spelling of 131990040 in words is "one hundred thirty-one million, nine hundred ninety thousand, forty".