131394144 has 48 divisors (see below), whose sum is σ = 394184448. Its totient is φ = 37540992.

The previous prime is 131394127. The next prime is 131394161. The reversal of 131394144 is 441493131.

It is an interprime number because it is at equal distance from previous prime (131394127) and next prime (131394161).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97092 + ... + 98435.

It is an arithmetic number, because the mean of its divisors is an integer number (8212176).

Almost surely, 2^131394144 is an apocalyptic number.

131394144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131394144 is an abundant number, since it is smaller than the sum of its proper divisors (262790304).

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

131394144 is a wasteful number, since it uses less digits than its factorization.

131394144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195547 (or 195539 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 131394144 is about 11462.7284710055. The cubic root of 131394144 is about 508.3841515321.

The spelling of 131394144 in words is "one hundred thirty-one million, three hundred ninety-four thousand, one hundred forty-four".