131402025664 has 112 divisors (see below), whose sum is σ = 321100996608. Its totient is φ = 51954582528.

The previous prime is 131402025647. The next prime is 131402025679. The reversal of 131402025664 is 466520204131.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12848457 + ... + 12858679.

It is an arithmetic number, because the mean of its divisors is an integer number (2866973184).

Almost surely, 2^131402025664 is an apocalyptic number.

131402025664 is a gapful number since it is divisible by the number (14) 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 131402025664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160550498304).

131402025664 is an abundant number, since it is smaller than the sum of its proper divisors (189698970944).

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

131402025664 is a wasteful number, since it uses less digits than its factorization.

131402025664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12462 (or 12452 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 131402025664 its reverse (466520204131), we get a palindrome (597922229795).

The spelling of 131402025664 in words is "one hundred thirty-one billion, four hundred two million, twenty-five thousand, six hundred sixty-four".