131229840 has 120 divisors (see below), whose sum is σ = 473273280. Its totient is φ = 29992704.

The previous prime is 131229811. The next prime is 131229859. The reversal of 131229840 is 48922131.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 131229798 and 131229807.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6181 + ... + 17339.

It is an arithmetic number, because the mean of its divisors is an integer number (3943944).

Almost surely, 2^131229840 is an apocalyptic number.

131229840 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 131229840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236636640).

131229840 is an abundant number, since it is smaller than the sum of its proper divisors (342043440).

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

131229840 is a wasteful number, since it uses less digits than its factorization.

131229840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11189 (or 11176 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 131229840 is about 11455.5593490672. The cubic root of 131229840 is about 508.1721573284.

The spelling of 131229840 in words is "one hundred thirty-one million, two hundred twenty-nine thousand, eight hundred forty".