131338140 has 48 divisors (see below), whose sum is σ = 369901728. Its totient is φ = 34818304.

The previous prime is 131338093. The next prime is 131338171. The reversal of 131338140 is 41833131.

It is a super-3 number, since 3×131338140³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131338140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4054 + ... + 16706.

It is an arithmetic number, because the mean of its divisors is an integer number (7706286).

Almost surely, 2^131338140 is an apocalyptic number.

131338140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131338140 is an abundant number, since it is smaller than the sum of its proper divisors (238563588).

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

131338140 is a wasteful number, since it uses less digits than its factorization.

131338140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12838 (or 12836 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 131338140 is about 11460.2853367619. The cubic root of 131338140 is about 508.3119119045.

The spelling of 131338140 in words is "one hundred thirty-one million, three hundred thirty-eight thousand, one hundred forty".