131205888 has 216 divisors, whose sum is σ = 428553216. Its totient is φ = 38246400.

The previous prime is 131205883. The next prime is 131205917. The reversal of 131205888 is 888502131.

131205888 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (131205883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 785581 + ... + 785747.

Almost surely, 2^131205888 is an apocalyptic number.

131205888 is a gapful number since it is divisible by the number (18) 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 131205888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214276608).

131205888 is an abundant number, since it is smaller than the sum of its proper divisors (297347328).

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

131205888 is a wasteful number, since it uses less digits than its factorization.

131205888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 131205888 is about 11454.5138700863. The cubic root of 131205888 is about 508.1412383440.

The spelling of 131205888 in words is "one hundred thirty-one million, two hundred five thousand, eight hundred eighty-eight".