131888900 has 144 divisors (see below), whose sum is σ = 351727488. Its totient is φ = 42240000.

The previous prime is 131888879. The next prime is 131888903. The reversal of 131888900 is 9888131.

It is not an unprimeable number, because it can be changed into a prime (131888903) 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, 328700 + ... + 329100.

It is an arithmetic number, because the mean of its divisors is an integer number (2442552).

Almost surely, 2^131888900 is an apocalyptic number.

131888900 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 131888900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175863744).

131888900 is an abundant number, since it is smaller than the sum of its proper divisors (219838588).

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

131888900 is a wasteful number, since it uses less digits than its factorization.

131888900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 38.

The square root of 131888900 is about 11484.2892683875. The cubic root of 131888900 is about 509.0214479867.

The spelling of 131888900 in words is "one hundred thirty-one million, eight hundred eighty-eight thousand, nine hundred".