137047320 has 96 divisors (see below), whose sum is σ = 447876000. Its totient is φ = 36343296.

The previous prime is 137047279. The next prime is 137047327. The reversal of 137047320 is 23740731.

137047320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137047327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70684 + ... + 72596.

It is an arithmetic number, because the mean of its divisors is an integer number (4665375).

Almost surely, 2^137047320 is an apocalyptic number.

137047320 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 137047320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223938000).

137047320 is an abundant number, since it is smaller than the sum of its proper divisors (310828680).

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

137047320 is a wasteful number, since it uses less digits than its factorization.

137047320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 137047320 is about 11706.7211464184. The cubic root of 137047320 is about 515.5730197738.

The spelling of 137047320 in words is "one hundred thirty-seven million, forty-seven thousand, three hundred twenty".