131406360 has 128 divisors (see below), whose sum is σ = 420526080. Its totient is φ = 32772608.

The previous prime is 131406349. The next prime is 131406397. The reversal of 131406360 is 63604131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131406360.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 129214 + ... + 130226.

It is an arithmetic number, because the mean of its divisors is an integer number (3285360).

Almost surely, 2^131406360 is an apocalyptic number.

131406360 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 131406360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210263040).

131406360 is an abundant number, since it is smaller than the sum of its proper divisors (289119720).

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

131406360 is a wasteful number, since it uses less digits than its factorization.

131406360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 131406360 is about 11463.2613160479. The cubic root of 131406360 is about 508.3999062382.

The spelling of 131406360 in words is "one hundred thirty-one million, four hundred six thousand, three hundred sixty".