131868000 has 480 divisors, whose sum is σ = 542269728. Its totient is φ = 31104000.

The previous prime is 131867969. The next prime is 131868001. The reversal of 131868000 is 868131.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131868001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3563982 + ... + 3564018.

Almost surely, 2^131868000 is an apocalyptic number.

131868000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271134864).

131868000 is an abundant number, since it is smaller than the sum of its proper divisors (410401728).

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

131868000 is a wasteful number, since it uses less digits than its factorization.

131868000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 131868000 is about 11483.3792935703. The cubic root of 131868000 is about 508.9945589150.

The spelling of 131868000 in words is "one hundred thirty-one million, eight hundred sixty-eight thousand".