131879340 has 120 divisors (see below), whose sum is σ = 417618432. Its totient is φ = 34836480.

The previous prime is 131879311. The next prime is 131879389. The reversal of 131879340 is 43978131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131879295 and 131879304.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 205420 + ... + 206060.

Almost surely, 2^131879340 is an apocalyptic number.

131879340 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 131879340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208809216).

131879340 is an abundant number, since it is smaller than the sum of its proper divisors (285739092).

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

131879340 is a wasteful number, since it uses less digits than its factorization.

131879340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 131879340 is about 11483.8730400506. The cubic root of 131879340 is about 509.0091488404.

The spelling of 131879340 in words is "one hundred thirty-one million, eight hundred seventy-nine thousand, three hundred forty".