131868864 has 168 divisors, whose sum is σ = 416692080. Its totient is φ = 40753152.

The previous prime is 131868827. The next prime is 131868901. The reversal of 131868864 is 468868131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131868827) and next prime (131868901).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1968159 + ... + 1968225.

It is an arithmetic number, because the mean of its divisors is an integer number (2480310).

Almost surely, 2^131868864 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 131868864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208346040).

131868864 is an abundant number, since it is smaller than the sum of its proper divisors (284823216).

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

131868864 is an equidigital number, since it uses as much as digits as its factorization.

131868864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 89 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 131868864 is about 11483.4169130969. The cubic root of 131868864 is about 508.9956705578.

The spelling of 131868864 in words is "one hundred thirty-one million, eight hundred sixty-eight thousand, eight hundred sixty-four".