131245830144 has 832 divisors, whose sum is σ = 469851486720. Its totient is φ = 35672555520.

The previous prime is 131245830109. The next prime is 131245830173. The reversal of 131245830144 is 441038542131.

131245830144 is a `hidden beast` number, since 1 + 31 + 2 + 4 + 583 + 0 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

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

It is a junction number, because it is equal to n+sod(n) for n = 131245830099 and 131245830108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 680030112 + ... + 680030304.

Almost surely, 2^131245830144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131245830144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234925743360).

131245830144 is an abundant number, since it is smaller than the sum of its proper divisors (338605656576).

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

131245830144 is a wasteful number, since it uses less digits than its factorization.

131245830144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 131245830144 in words is "one hundred thirty-one billion, two hundred forty-five million, eight hundred thirty thousand, one hundred forty-four".