131372864 has 56 divisors (see below), whose sum is σ = 300410880. Its totient is φ = 55835136.

The previous prime is 131372861. The next prime is 131372867. The reversal of 131372864 is 468273131.

It is an interprime number because it is at equal distance from previous prime (131372861) and next prime (131372867).

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131372861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55742 + ... + 58050.

It is an arithmetic number, because the mean of its divisors is an integer number (5364480).

Almost surely, 2^131372864 is an apocalyptic number.

131372864 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 131372864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150205440).

131372864 is an abundant number, since it is smaller than the sum of its proper divisors (169038016).

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

131372864 is a wasteful number, since it uses less digits than its factorization.

131372864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2445 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 131372864 is about 11461.8002076463. The cubic root of 131372864 is about 508.3567048528.

The spelling of 131372864 in words is "one hundred thirty-one million, three hundred seventy-two thousand, eight hundred sixty-four".