131841635640000 has 2240 divisors, whose sum is σ = 523087290485760. Its totient is φ = 28877783040000.

The previous prime is 131841635639977. The next prime is 131841635640017. The reversal of 131841635640000 is 46536148131.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 171445559616 + ... + 171445560384.

It is an arithmetic number, because the mean of its divisors is an integer number (233521111824).

Almost surely, 2^{131841635640000} is an apocalyptic number.

131841635640000 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 131841635640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261543645242880).

131841635640000 is an abundant number, since it is smaller than the sum of its proper divisors (391245654845760).

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

131841635640000 is a wasteful number, since it uses less digits than its factorization.

131841635640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 131841635640000 in words is "one hundred thirty-one trillion, eight hundred forty-one billion, six hundred thirty-five million, six hundred forty thousand".