131984903736 has 288 divisors, whose sum is σ = 436703904000. Its totient is φ = 37230508224.

The previous prime is 131984903731. The next prime is 131984903737. The reversal of 131984903736 is 637309489131.

It is a happy number.

131984903736 is a `hidden beast` number, since 1 + 3 + 1 + 98 + 490 + 37 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131984903731) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7516455 + ... + 7533993.

It is an arithmetic number, because the mean of its divisors is an integer number (1516333000).

Almost surely, 2^131984903736 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 131984903736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218351952000).

131984903736 is an abundant number, since it is smaller than the sum of its proper divisors (304719000264).

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

131984903736 is a wasteful number, since it uses less digits than its factorization.

131984903736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17653 (or 17630 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 131984903736 in words is "one hundred thirty-one billion, nine hundred eighty-four million, nine hundred three thousand, seven hundred thirty-six".