131912898432 has 384 divisors, whose sum is σ = 439082582400. Its totient is φ = 34871316480.

The previous prime is 131912898431. The next prime is 131912898443. The reversal of 131912898432 is 234898219131.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×131912898432² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131912898431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15368382 + ... + 15376962.

It is an arithmetic number, because the mean of its divisors is an integer number (1143444225).

Almost surely, 2^131912898432 is an apocalyptic number.

131912898432 is a gapful number since it is divisible by the number (12) 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 131912898432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219541291200).

131912898432 is an abundant number, since it is smaller than the sum of its proper divisors (307169683968).

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

131912898432 is a wasteful number, since it uses less digits than its factorization.

131912898432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8674 (or 8655 counting only the distinct ones).

The product of its digits is 746496, while the sum is 51.

The spelling of 131912898432 in words is "one hundred thirty-one billion, nine hundred twelve million, eight hundred ninety-eight thousand, four hundred thirty-two".