137287444 has 48 divisors (see below), whose sum is σ = 291876480. Its totient is φ = 55157760.

The previous prime is 137287441. The next prime is 137287453. The reversal of 137287444 is 444782731.

It is a junction number, because it is equal to n+sod(n) for n = 137287397 and 137287406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137287441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180024 + ... + 180784.

It is an arithmetic number, because the mean of its divisors is an integer number (6080760).

Almost surely, 2^137287444 is an apocalyptic number.

137287444 is a gapful number since it is divisible by the number (14) 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 137287444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145938240).

137287444 is an abundant number, since it is smaller than the sum of its proper divisors (154589036).

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

137287444 is a wasteful number, since it uses less digits than its factorization.

137287444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1166 counting only the distinct ones).

The product of its digits is 150528, while the sum is 40.

The square root of 137287444 is about 11716.9724758574. The cubic root of 137287444 is about 515.8739601617.

It can be divided in two parts, 137287 and 444, that added together give a palindrome (137731).

The spelling of 137287444 in words is "one hundred thirty-seven million, two hundred eighty-seven thousand, four hundred forty-four".