131070240 has 144 divisors (see below), whose sum is σ = 511213248. Its totient is φ = 29956608.

The previous prime is 131070239. The next prime is 131070253. The reversal of 131070240 is 42070131.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 3579 + ... + 16581.

It is an arithmetic number, because the mean of its divisors is an integer number (3550092).

Almost surely, 2^131070240 is an apocalyptic number.

131070240 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 131070240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255606624).

131070240 is an abundant number, since it is smaller than the sum of its proper divisors (380143008).

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

131070240 is a wasteful number, since it uses less digits than its factorization.

131070240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13031 (or 13020 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 131070240 is about 11448.5911797042. The cubic root of 131070240 is about 507.9660629983.

The spelling of 131070240 in words is "one hundred thirty-one million, seventy thousand, two hundred forty".