131914137600 has 1080 divisors, whose sum is σ = 566379874368. Its totient is φ = 29727129600.

The previous prime is 131914137599. The next prime is 131914137721. The reversal of 131914137600 is 6731419131.

131914137600 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 1 + 41 + 3 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1857945565 + ... + 1857945635.

Almost surely, 2^131914137600 is an apocalyptic number.

131914137600 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 131914137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283189937184).

131914137600 is an abundant number, since it is smaller than the sum of its proper divisors (434465736768).

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

131914137600 is an frugal number, since it uses more digits than its factorization.

131914137600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 131914137600 in words is "one hundred thirty-one billion, nine hundred fourteen million, one hundred thirty-seven thousand, six hundred".