131076365772440 has 128 divisors (see below), whose sum is σ = 322370335883520. Its totient is φ = 47569763520000.

The previous prime is 131076365772439. The next prime is 131076365772463. The reversal of 131076365772440 is 44277563670131.

It is a super-2 number, since 2×131076365772440² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 646655987 + ... + 646858653.

It is an arithmetic number, because the mean of its divisors is an integer number (2518518249090).

Almost surely, 2^{131076365772440} is an apocalyptic number.

131076365772440 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 131076365772440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161185167941760).

131076365772440 is an abundant number, since it is smaller than the sum of its proper divisors (191293970111080).

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

131076365772440 is a wasteful number, since it uses less digits than its factorization.

131076365772440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205593 (or 205589 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 56.

The spelling of 131076365772440 in words is "one hundred thirty-one trillion, seventy-six billion, three hundred sixty-five million, seven hundred seventy-two thousand, four hundred forty".