131986800 has 360 divisors, whose sum is σ = 521477040. Its totient is φ = 31680000.

The previous prime is 131986781. The next prime is 131986817. The reversal of 131986800 is 8689131.

131986800 = 105³ + 106³ + ... + 159³.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1306750 + ... + 1306850.

Almost surely, 2^131986800 is an apocalyptic number.

131986800 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 131986800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260738520).

131986800 is an abundant number, since it is smaller than the sum of its proper divisors (389490240).

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

131986800 is a wasteful number, since it uses less digits than its factorization.

131986800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 131986800 is about 11488.5508224493. The cubic root of 131986800 is about 509.1473642556.

The spelling of 131986800 in words is "one hundred thirty-one million, nine hundred eighty-six thousand, eight hundred".