131462016 has 64 divisors (see below), whose sum is σ = 399089280. Its totient is φ = 37559808.

The previous prime is 131461963. The next prime is 131462021. The reversal of 131462016 is 610264131.

131462016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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

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, 21766 + ... + 27141.

It is an arithmetic number, because the mean of its divisors is an integer number (6235770).

Almost surely, 2^131462016 is an apocalyptic number.

131462016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131462016 is an abundant number, since it is smaller than the sum of its proper divisors (267627264).

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

131462016 is an equidigital number, since it uses as much as digits as its factorization.

131462016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48931 (or 48919 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 131462016 is about 11465.6886404612. The cubic root of 131462016 is about 508.4716721998.

The spelling of 131462016 in words is "one hundred thirty-one million, four hundred sixty-two thousand, sixteen".