131669508096 has 480 divisors, whose sum is σ = 451335279360. Its totient is φ = 37158912000.

The previous prime is 131669508053. The next prime is 131669508107. The reversal of 131669508096 is 690805966131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312753966 + ... + 312754386.

It is an arithmetic number, because the mean of its divisors is an integer number (940281832).

Almost surely, 2^131669508096 is an apocalyptic number.

131669508096 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 131669508096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225667639680).

131669508096 is an abundant number, since it is smaller than the sum of its proper divisors (319665771264).

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

131669508096 is an equidigital number, since it uses as much as digits as its factorization.

131669508096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 131669508096 in words is "one hundred thirty-one billion, six hundred sixty-nine million, five hundred eight thousand, ninety-six".