131556746124 has 144 divisors (see below), whose sum is σ = 345869072640. Its totient is φ = 42118133760.

The previous prime is 131556746059. The next prime is 131556746137. The reversal of 131556746124 is 421647655131.

It is a happy number.

131556746124 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 567 + 4 + 61 + 24 = 666.

Its product of digits (604800) is a multiple of the sum of its prime factors (1920).

It is a self number, because there is not a number n which added to its sum of digits gives 131556746124.

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 47 ways as a sum of consecutive naturals, for example, 106350834 + ... + 106352070.

It is an arithmetic number, because the mean of its divisors is an integer number (2401868560).

Almost surely, 2^131556746124 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 131556746124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172934536320).

131556746124 is an abundant number, since it is smaller than the sum of its proper divisors (214312326516).

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

131556746124 is a wasteful number, since it uses less digits than its factorization.

131556746124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1915 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 131556746124 in words is "one hundred thirty-one billion, five hundred fifty-six million, seven hundred forty-six thousand, one hundred twenty-four".