131135131401440 has 96 divisors (see below), whose sum is σ = 311522024084544. Its totient is φ = 52164362465280.

The previous prime is 131135131401427. The next prime is 131135131401467. The reversal of 131135131401440 is 44104131531131.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 131135131401397 and 131135131401406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20251157 + ... + 25930283.

It is an arithmetic number, because the mean of its divisors is an integer number (3245021084214).

Almost surely, 2^{131135131401440} is an apocalyptic number.

131135131401440 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 131135131401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155761012042272).

131135131401440 is an abundant number, since it is smaller than the sum of its proper divisors (180386892683104).

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

131135131401440 is a wasteful number, since it uses less digits than its factorization.

131135131401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5679940 (or 5679932 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

Adding to 131135131401440 its reverse (44104131531131), we get a palindrome (175239262932571).

The spelling of 131135131401440 in words is "one hundred thirty-one trillion, one hundred thirty-five billion, one hundred thirty-one million, four hundred one thousand, four hundred forty".