131207383440 has 960 divisors, whose sum is σ = 567803658240. Its totient is φ = 27478517760.

The previous prime is 131207383423. The next prime is 131207383453. The reversal of 131207383440 is 44383702131.

131207383440 is a `hidden beast` number, since 1 + 3 + 1 + 207 + 3 + 8 + 3 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131207383395 and 131207383404.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 80150302 + ... + 80151938.

It is an arithmetic number, because the mean of its divisors is an integer number (591462144).

Almost surely, 2^131207383440 is an apocalyptic number.

131207383440 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 131207383440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283901829120).

131207383440 is an abundant number, since it is smaller than the sum of its proper divisors (436596274800).

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

131207383440 is a wasteful number, since it uses less digits than its factorization.

131207383440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 131207383440 in words is "one hundred thirty-one billion, two hundred seven million, three hundred eighty-three thousand, four hundred forty".