131912051040 has 1440 divisors, whose sum is σ = 597414388032. Its totient is φ = 26824089600.

The previous prime is 131912050999. The next prime is 131912051083. The reversal of 131912051040 is 40150219131.

It is a happy number.

131912051040 is a `hidden beast` number, since 1 + 3 + 1 + 91 + 20 + 510 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131912050995 and 131912051013.

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 669604222 + ... + 669604418.

Almost surely, 2^131912051040 is an apocalyptic number.

131912051040 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 131912051040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298707194016).

131912051040 is an abundant number, since it is smaller than the sum of its proper divisors (465502336992).

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

131912051040 is a wasteful number, since it uses less digits than its factorization.

131912051040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 131912051040 in words is "one hundred thirty-one billion, nine hundred twelve million, fifty-one thousand, forty".