131982345 has 128 divisors (see below), whose sum is σ = 274268160. Its totient is φ = 59616000.

The previous prime is 131982329. The next prime is 131982359. The reversal of 131982345 is 543289131.

It is not a de Polignac number, because 131982345 - 2⁴ = 131982329 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2163615 + ... + 2163675.

It is an arithmetic number, because the mean of its divisors is an integer number (2142720).

Almost surely, 2^131982345 is an apocalyptic number.

131982345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131982345 is an abundant number, since it is smaller than the sum of its proper divisors (142285815).

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

131982345 is a wasteful number, since it uses less digits than its factorization.

131982345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 131982345 is about 11488.3569321292. The cubic root of 131982345 is about 509.1416357105.

The spelling of 131982345 in words is "one hundred thirty-one million, nine hundred eighty-two thousand, three hundred forty-five".