131874825019392 has 896 divisors, whose sum is σ = 481508123819520. Its totient is φ = 34734876917760.

The previous prime is 131874825019391. The next prime is 131874825019409. The reversal of 131874825019392 is 293910528478131.

It is a happy number.

131874825019392 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 7 + 482 + 50 + 19 + 3 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (131874825019391) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17168961792 + ... + 17168969472.

It is an arithmetic number, because the mean of its divisors is an integer number (537397459620).

Almost surely, 2^{131874825019392} is an apocalyptic number.

131874825019392 is a gapful number since it is divisible by the number (12) 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 131874825019392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240754061909760).

131874825019392 is an abundant number, since it is smaller than the sum of its proper divisors (349633298800128).

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

131874825019392 is an equidigital number, since it uses as much as digits as its factorization.

131874825019392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8589 (or 8559 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 131874825019392 in words is "one hundred thirty-one trillion, eight hundred seventy-four billion, eight hundred twenty-five million, nineteen thousand, three hundred ninety-two".