131089338 has 48 divisors (see below), whose sum is σ = 296693280. Its totient is φ = 41777568.

The previous prime is 131089337. The next prime is 131089339. The reversal of 131089338 is 833980131.

131089338 is a `hidden beast` number, since 1 + 310 + 8 + 9 + 338 = 666.

It is an interprime number because it is at equal distance from previous prime (131089337) and next prime (131089339).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131089333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54681 + ... + 57027.

It is an arithmetic number, because the mean of its divisors is an integer number (6181110).

Almost surely, 2^131089338 is an apocalyptic number.

131089338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131089338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148346640).

131089338 is an abundant number, since it is smaller than the sum of its proper divisors (165603942).

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

131089338 is a wasteful number, since it uses less digits than its factorization.

131089338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 131089338 is about 11449.4252257482. The cubic root of 131089338 is about 507.9907333958.

The spelling of 131089338 in words is "one hundred thirty-one million, eighty-nine thousand, three hundred thirty-eight".