131338260 has 240 divisors, whose sum is σ = 461039040. Its totient is φ = 31104000.

The previous prime is 131338247. The next prime is 131338261. The reversal of 131338260 is 62833131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131338261) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 523135 + ... + 523385.

It is an arithmetic number, because the mean of its divisors is an integer number (1920996).

Almost surely, 2^131338260 is an apocalyptic number.

131338260 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 131338260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230519520).

131338260 is an abundant number, since it is smaller than the sum of its proper divisors (329700780).

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

131338260 is a wasteful number, since it uses less digits than its factorization.

131338260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 131338260 is about 11460.2905722325. The cubic root of 131338260 is about 508.3120667146.

The spelling of 131338260 in words is "one hundred thirty-one million, three hundred thirty-eight thousand, two hundred sixty".