131416380 has 36 divisors (see below), whose sum is σ = 398630232. Its totient is φ = 35044320.

The previous prime is 131416367. The next prime is 131416403. The reversal of 131416380 is 83614131.

131416380 is a `hidden beast` number, since 13 + 14 + 1 + 638 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 364866 + ... + 365225.

It is an arithmetic number, because the mean of its divisors is an integer number (11073062).

Almost surely, 2^131416380 is an apocalyptic number.

131416380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131416380 is an abundant number, since it is smaller than the sum of its proper divisors (267213852).

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

131416380 is a wasteful number, since it uses less digits than its factorization.

131416380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730106 (or 730101 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 131416380 is about 11463.6983561153. The cubic root of 131416380 is about 508.4128280825.

The spelling of 131416380 in words is "one hundred thirty-one million, four hundred sixteen thousand, three hundred eighty".