131953241376 has 576 divisors, whose sum is σ = 437987088000. Its totient is φ = 38596884480.

The previous prime is 131953241339. The next prime is 131953241383. The reversal of 131953241376 is 673142359131.

131953241376 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 532 + 41 + 3 + 76 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (408240) is a multiple of the sum of its prime divisors (405).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 669813310 + ... + 669813506.

It is an arithmetic number, because the mean of its divisors is an integer number (760394250).

Almost surely, 2^131953241376 is an apocalyptic number.

131953241376 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 131953241376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218993544000).

131953241376 is an abundant number, since it is smaller than the sum of its proper divisors (306033846624).

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

131953241376 is a wasteful number, since it uses less digits than its factorization.

131953241376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 405 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The spelling of 131953241376 in words is "one hundred thirty-one billion, nine hundred fifty-three million, two hundred forty-one thousand, three hundred seventy-six".