131086164 has 72 divisors (see below), whose sum is σ = 340157664. Its totient is φ = 38964800.

The previous prime is 131086159. The next prime is 131086169. The reversal of 131086164 is 461680131.

It is an interprime number because it is at equal distance from previous prime (131086159) and next prime (131086169).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131086169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 665314 + ... + 665510.

It is an arithmetic number, because the mean of its divisors is an integer number (4724412).

Almost surely, 2^131086164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131086164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170078832).

131086164 is an abundant number, since it is smaller than the sum of its proper divisors (209071500).

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

131086164 is a wasteful number, since it uses less digits than its factorization.

131086164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 131086164 is about 11449.2866153311. The cubic root of 131086164 is about 507.9866334549.

The spelling of 131086164 in words is "one hundred thirty-one million, eighty-six thousand, one hundred sixty-four".