131283840 has 128 divisors (see below), whose sum is σ = 423234720. Its totient is φ = 34611200.

The previous prime is 131283833. The next prime is 131283847. The reversal of 131283840 is 48382131.

It is an interprime number because it is at equal distance from previous prime (131283833) and next prime (131283847).

It is a tau number, because it is divible by the number of its divisors (128).

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 = 131283798 and 131283807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131283847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193582 + ... + 194258.

Almost surely, 2^131283840 is an apocalyptic number.

131283840 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 131283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211617360).

131283840 is an abundant number, since it is smaller than the sum of its proper divisors (291950880).

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

131283840 is a wasteful number, since it uses less digits than its factorization.

131283840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 131283840 is about 11457.9160408863. The cubic root of 131283840 is about 508.2418506578.

The spelling of 131283840 in words is "one hundred thirty-one million, two hundred eighty-three thousand, eight hundred forty".