131883840 has 336 divisors, whose sum is σ = 519232896. Its totient is φ = 30412800.

The previous prime is 131883811. The next prime is 131883847. The reversal of 131883840 is 48388131.

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 = 131883795 and 131883804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131883847) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 728550 + ... + 728730.

It is an arithmetic number, because the mean of its divisors is an integer number (1545336).

Almost surely, 2^131883840 is an apocalyptic number.

131883840 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 131883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259616448).

131883840 is an abundant number, since it is smaller than the sum of its proper divisors (387349056).

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

131883840 is a wasteful number, since it uses less digits than its factorization.

131883840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 131883840 is about 11484.0689653102. The cubic root of 131883840 is about 509.0149382616.

It can be divided in two parts, 1318 and 83840, that added together give a palindrome (85158).

The spelling of 131883840 in words is "one hundred thirty-one million, eight hundred eighty-three thousand, eight hundred forty".