131909877000 has 768 divisors, whose sum is σ = 513304646400. Its totient is φ = 31415040000.

The previous prime is 131909876999. The next prime is 131909877017. The reversal of 131909877000 is 778909131.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 163052596 + ... + 163053404.

It is an arithmetic number, because the mean of its divisors is an integer number (668365425).

Almost surely, 2^131909877000 is an apocalyptic number.

131909877000 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 131909877000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256652323200).

131909877000 is an abundant number, since it is smaller than the sum of its proper divisors (381394769400).

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

131909877000 is a wasteful number, since it uses less digits than its factorization.

131909877000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 131909877000 in words is "one hundred thirty-one billion, nine hundred nine million, eight hundred seventy-seven thousand".