131141967840 has 768 divisors, whose sum is σ = 506568867840. Its totient is φ = 31885830144.

The previous prime is 131141967791. The next prime is 131141967877. The reversal of 131141967840 is 48769141131.

131141967840 is a `hidden beast` number, since 131 + 1 + 419 + 67 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 577717807 + ... + 577718033.

It is an arithmetic number, because the mean of its divisors is an integer number (659594880).

Almost surely, 2^131141967840 is an apocalyptic number.

131141967840 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 131141967840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253284433920).

131141967840 is an abundant number, since it is smaller than the sum of its proper divisors (375426900000).

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

131141967840 is a wasteful number, since it uses less digits than its factorization.

131141967840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 131141967840 in words is "one hundred thirty-one billion, one hundred forty-one million, nine hundred sixty-seven thousand, eight hundred forty".