131386600 has 48 divisors (see below), whose sum is σ = 306503820. Its totient is φ = 52377600.

The previous prime is 131386583. The next prime is 131386601. The reversal of 131386600 is 6683131.

It can be written as a sum of positive squares in 6 ways, for example, as 6260004 + 125126596 = 2502^2 + 11186^2 .

It is not an unprimeable number, because it can be changed into a prime (131386601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69670 + ... + 71530.

Almost surely, 2^131386600 is an apocalyptic number.

131386600 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 131386600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153251910).

131386600 is an abundant number, since it is smaller than the sum of its proper divisors (175117220).

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

131386600 is a wasteful number, since it uses less digits than its factorization.

131386600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 131386600 is about 11462.3993997766. The cubic root of 131386600 is about 508.3744217138.

The spelling of 131386600 in words is "one hundred thirty-one million, three hundred eighty-six thousand, six hundred".