131497896393600 has 1536 divisors, whose sum is σ = 510123555717120. Its totient is φ = 29440266240000.

The previous prime is 131497896393557. The next prime is 131497896393653. The reversal of 131497896393600 is 6393698794131.

It is a super-2 number, since 2×131497896393600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36968763022 + ... + 36968766578.

It is an arithmetic number, because the mean of its divisors is an integer number (332111689920).

Almost surely, 2^{131497896393600} is an apocalyptic number.

131497896393600 is a gapful number since it is divisible by the number (10) 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 131497896393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255061777858560).

131497896393600 is an abundant number, since it is smaller than the sum of its proper divisors (378625659323520).

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

131497896393600 is a wasteful number, since it uses less digits than its factorization.

131497896393600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4140 (or 4123 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 69.

The spelling of 131497896393600 in words is "one hundred thirty-one trillion, four hundred ninety-seven billion, eight hundred ninety-six million, three hundred ninety-three thousand, six hundred".