131693540 has 48 divisors (see below), whose sum is σ = 303234624. Its totient is φ = 47644800.

The previous prime is 131693531. The next prime is 131693581. The reversal of 131693540 is 45396131.

It is a junction number, because it is equal to n+sod(n) for n = 131693497 and 131693506.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45002 + ... + 47838.

It is an arithmetic number, because the mean of its divisors is an integer number (6317388).

Almost surely, 2^131693540 is an apocalyptic number.

131693540 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 131693540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151617312).

131693540 is an abundant number, since it is smaller than the sum of its proper divisors (171541084).

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

131693540 is a wasteful number, since it uses less digits than its factorization.

131693540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3068 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 131693540 is about 11475.7805834723. The cubic root of 131693540 is about 508.7699950085.

The spelling of 131693540 in words is "one hundred thirty-one million, six hundred ninety-three thousand, five hundred forty".