131828670 has 48 divisors (see below), whose sum is σ = 346106592. Its totient is φ = 34810560.

The previous prime is 131828639. The next prime is 131828681. The reversal of 131828670 is 76828131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2160 + ... + 16380.

It is an arithmetic number, because the mean of its divisors is an integer number (7210554).

Almost surely, 2^131828670 is an apocalyptic number.

131828670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131828670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173053296).

131828670 is an abundant number, since it is smaller than the sum of its proper divisors (214277922).

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

131828670 is a wasteful number, since it uses less digits than its factorization.

131828670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14337 (or 14334 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 131828670 is about 11481.6666908598. Note that the first 4 decimals coincide. The cubic root of 131828670 is about 508.9439508662.

The spelling of 131828670 in words is "one hundred thirty-one million, eight hundred twenty-eight thousand, six hundred seventy".