131664610 has 64 divisors (see below), whose sum is σ = 298577664. Its totient is φ = 40608000.

The previous prime is 131664607. The next prime is 131664613. The reversal of 131664610 is 16466131.

It is an interprime number because it is at equal distance from previous prime (131664607) and next prime (131664613).

It is not an unprimeable number, because it can be changed into a prime (131664613) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76924 + ... + 78616.

It is an arithmetic number, because the mean of its divisors is an integer number (4665276).

Almost surely, 2^131664610 is an apocalyptic number.

131664610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131664610 is an abundant number, since it is smaller than the sum of its proper divisors (166913054).

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

131664610 is a wasteful number, since it uses less digits than its factorization.

131664610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 131664610 is about 11474.5200335352. The cubic root of 131664610 is about 508.7327373119.

The spelling of 131664610 in words is "one hundred thirty-one million, six hundred sixty-four thousand, six hundred ten".