131982240 has 144 divisors (see below), whose sum is σ = 450461088. Its totient is φ = 32467968.

The previous prime is 131982217. The next prime is 131982259. The reversal of 131982240 is 42289131.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 131982198 and 131982207.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80307 + ... + 81933.

It is an arithmetic number, because the mean of its divisors is an integer number (3128202).

Almost surely, 2^131982240 is an apocalyptic number.

131982240 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 131982240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225230544).

131982240 is an abundant number, since it is smaller than the sum of its proper divisors (318478848).

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

131982240 is a wasteful number, since it uses less digits than its factorization.

131982240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 131982240 is about 11488.3523622842. The cubic root of 131982240 is about 509.1415006927.

The spelling of 131982240 in words is "one hundred thirty-one million, nine hundred eighty-two thousand, two hundred forty".