131908128900 has 288 divisors, whose sum is σ = 426707688960. Its totient is φ = 31265556480.

The previous prime is 131908128893. The next prime is 131908128949. The reversal of 131908128900 is 9821809131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33622339 + ... + 33626261.

It is an arithmetic number, because the mean of its divisors is an integer number (1481623920).

Almost surely, 2^131908128900 is an apocalyptic number.

131908128900 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 131908128900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213353844480).

131908128900 is an abundant number, since it is smaller than the sum of its proper divisors (294799560060).

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

131908128900 is a wasteful number, since it uses less digits than its factorization.

131908128900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323 (or 4316 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 42.

The spelling of 131908128900 in words is "one hundred thirty-one billion, nine hundred eight million, one hundred twenty-eight thousand, nine hundred".