131612742144 has 240 divisors, whose sum is σ = 409650905664. Its totient is φ = 40437964800.

The previous prime is 131612742101. The next prime is 131612742193. The reversal of 131612742144 is 441247216131.

131612742144 is a `hidden beast` number, since 1 + 31 + 612 + 7 + 4 + 2 + 1 + 4 + 4 = 666.

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 = 131612742099 and 131612742108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61759959 + ... + 61762089.

Almost surely, 2^131612742144 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 131612742144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204825452832).

131612742144 is an abundant number, since it is smaller than the sum of its proper divisors (278038163520).

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

131612742144 is a wasteful number, since it uses less digits than its factorization.

131612742144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199 (or 3180 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

Adding to 131612742144 its reverse (441247216131), we get a palindrome (572859958275).

The spelling of 131612742144 in words is "one hundred thirty-one billion, six hundred twelve million, seven hundred forty-two thousand, one hundred forty-four".