131338240 has 156 divisors (see below), whose sum is σ = 352966572. Its totient is φ = 46858240.

The previous prime is 131338231. The next prime is 131338247. The reversal of 131338240 is 42833131.

It can be written as a sum of positive squares in 2 ways, for example, as 71368704 + 59969536 = 8448^2 + 7744^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131338247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2478054 + ... + 2478106.

Almost surely, 2^131338240 is an apocalyptic number.

131338240 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 131338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176483286).

131338240 is an abundant number, since it is smaller than the sum of its proper divisors (221628332).

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

131338240 is an equidigital number, since it uses as much as digits as its factorization.

131338240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 131338240 is about 11460.2896996542. The cubic root of 131338240 is about 508.3120409129.

The spelling of 131338240 in words is "one hundred thirty-one million, three hundred thirty-eight thousand, two hundred forty".