131374352217600 has 2880 divisors, whose sum is σ = 532072088064000. Its totient is φ = 31657402368000.

The previous prime is 131374352217571. The next prime is 131374352217607. The reversal of 131374352217600 is 6712253473131.

131374352217600 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 7 + 4 + 3 + 5 + 22 + 17 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131374352217607) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 687823833505 + ... + 687823833695.

It is an arithmetic number, because the mean of its divisors is an integer number (184747252800).

Almost surely, 2^{131374352217600} is an apocalyptic number.

131374352217600 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 131374352217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266036044032000).

131374352217600 is an abundant number, since it is smaller than the sum of its proper divisors (400697735846400).

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

131374352217600 is a wasteful number, since it uses less digits than its factorization.

131374352217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 131374352217600 in words is "one hundred thirty-one trillion, three hundred seventy-four billion, three hundred fifty-two million, two hundred seventeen thousand, six hundred".