137852286 has 96 divisors (see below), whose sum is σ = 345316608. Its totient is φ = 36241920.

The previous prime is 137852263. The next prime is 137852287. The reversal of 137852286 is 682258731.

It is a super-4 number, since 4×137852286⁴ (a number of 34 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137852287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189255 + ... + 189981.

It is an arithmetic number, because the mean of its divisors is an integer number (3597048).

Almost surely, 2^137852286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137852286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172658304).

137852286 is an abundant number, since it is smaller than the sum of its proper divisors (207464322).

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

137852286 is a wasteful number, since it uses less digits than its factorization.

137852286 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 773 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 137852286 is about 11741.0513157894. The cubic root of 137852286 is about 516.5804791834.

The spelling of 137852286 in words is "one hundred thirty-seven million, eight hundred fifty-two thousand, two hundred eighty-six".