131693040 has 100 divisors (see below), whose sum is σ = 457411944. Its totient is φ = 35116416.

The previous prime is 131693021. The next prime is 131693057. The reversal of 131693040 is 40396131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131692995 and 131693013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3682 + ... + 16641.

Almost surely, 2^131693040 is an apocalyptic number.

131693040 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 131693040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228705972).

131693040 is an abundant number, since it is smaller than the sum of its proper divisors (325718904).

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

131693040 is a wasteful number, since it uses less digits than its factorization.

131693040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20348 (or 20333 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 131693040 is about 11475.7587984412. The cubic root of 131693040 is about 508.7693511264.

The spelling of 131693040 in words is "one hundred thirty-one million, six hundred ninety-three thousand, forty".