131689800 has 240 divisors, whose sum is σ = 499633200. Its totient is φ = 31881600.

The previous prime is 131689793. The next prime is 131689801. The reversal of 131689800 is 8986131.

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

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (131689801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 177831 + ... + 178569.

It is an arithmetic number, because the mean of its divisors is an integer number (2081805).

Almost surely, 2^131689800 is an apocalyptic number.

131689800 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 131689800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249816600).

131689800 is an abundant number, since it is smaller than the sum of its proper divisors (367943400).

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

131689800 is a wasteful number, since it uses less digits than its factorization.

131689800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 760 counting only the distinct ones).

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

The square root of 131689800 is about 11475.6176304372. The cubic root of 131689800 is about 508.7651787312.

The spelling of 131689800 in words is "one hundred thirty-one million, six hundred eighty-nine thousand, eight hundred".