131889600 has 336 divisors, whose sum is σ = 498896640. Its totient is φ = 33868800.

The previous prime is 131889581. The next prime is 131889601. The reversal of 131889600 is 6988131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131889601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1857565 + ... + 1857635.

Almost surely, 2^131889600 is an apocalyptic number.

131889600 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 131889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249448320).

131889600 is an abundant number, since it is smaller than the sum of its proper divisors (367007040).

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

131889600 is a wasteful number, since it uses less digits than its factorization.

131889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

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

The square root of 131889600 is about 11484.3197447650. The cubic root of 131889600 is about 509.0223485285.

The spelling of 131889600 in words is "one hundred thirty-one million, eight hundred eighty-nine thousand, six hundred".