131115600 has 540 divisors, whose sum is σ = 584872288. Its totient is φ = 26611200.

The previous prime is 131115563. The next prime is 131115613. The reversal of 131115600 is 6511131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3049179 + ... + 3049221.

Almost surely, 2^131115600 is an apocalyptic number.

131115600 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 131115600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292436144).

131115600 is an abundant number, since it is smaller than the sum of its proper divisors (453756688).

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

131115600 is a wasteful number, since it uses less digits than its factorization.

131115600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 131115600 is about 11450.5720381123. The cubic root of 131115600 is about 508.0246541861.

Adding to 131115600 its reverse (6511131), we get a palindrome (137626731).

The spelling of 131115600 in words is "one hundred thirty-one million, one hundred fifteen thousand, six hundred".