131939055360 has 1152 divisors, whose sum is σ = 562236702720. Its totient is φ = 28665446400.

The previous prime is 131939055319. The next prime is 131939055361. The reversal of 131939055360 is 63550939131.

131939055360 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 3 + 90 + 553 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (131939055361) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 547464840 + ... + 547465080.

Almost surely, 2^131939055360 is an apocalyptic number.

131939055360 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 131939055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281118351360).

131939055360 is an abundant number, since it is smaller than the sum of its proper divisors (430297647360).

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

131939055360 is a wasteful number, since it uses less digits than its factorization.

131939055360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 328050, while the sum is 45.

The spelling of 131939055360 in words is "one hundred thirty-one billion, nine hundred thirty-nine million, fifty-five thousand, three hundred sixty".