131996721116736 has 448 divisors, whose sum is σ = 447791576002560. Its totient is φ = 37348434063360.

The previous prime is 131996721116657. The next prime is 131996721116753. The reversal of 131996721116736 is 637611127699131.

131996721116736 is a `hidden beast` number, since 1 + 319 + 9 + 67 + 211 + 16 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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, 553913965 + ... + 554152211.

Almost surely, 2^{131996721116736} is an apocalyptic number.

131996721116736 is a gapful number since it is divisible by the number (16) 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 131996721116736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223895788001280).

131996721116736 is an abundant number, since it is smaller than the sum of its proper divisors (315794854885824).

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

131996721116736 is a wasteful number, since it uses less digits than its factorization.

131996721116736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238719 (or 238703 counting only the distinct ones).

The product of its digits is 15431472, while the sum is 63.

The spelling of 131996721116736 in words is "one hundred thirty-one trillion, nine hundred ninety-six billion, seven hundred twenty-one million, one hundred sixteen thousand, seven hundred thirty-six".