131219940 has 96 divisors (see below), whose sum is σ = 393120000. Its totient is φ = 32587776.

The previous prime is 131219939. The next prime is 131219987. The reversal of 131219940 is 49912131.

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 = 131219898 and 131219907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104436 + ... + 105684.

It is an arithmetic number, because the mean of its divisors is an integer number (4095000).

Almost surely, 2^131219940 is an apocalyptic number.

131219940 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 131219940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560000).

131219940 is an abundant number, since it is smaller than the sum of its proper divisors (261900060).

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

131219940 is a wasteful number, since it uses less digits than its factorization.

131219940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 131219940 is about 11455.1272363078. The cubic root of 131219940 is about 508.1593781442.

The spelling of 131219940 in words is "one hundred thirty-one million, two hundred nineteen thousand, nine hundred forty".