137313000 has 384 divisors, whose sum is σ = 540259200. Its totient is φ = 31104000.

The previous prime is 137312971. The next prime is 137313017. The reversal of 137313000 is 313731.

137313000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1880964 + ... + 1881036.

It is an arithmetic number, because the mean of its divisors is an integer number (1406925).

Almost surely, 2^137313000 is an apocalyptic number.

137313000 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 137313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270129600).

137313000 is an abundant number, since it is smaller than the sum of its proper divisors (402946200).

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

137313000 is a wasteful number, since it uses less digits than its factorization.

137313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 18.

The square root of 137313000 is about 11718.0629798615. The cubic root of 137313000 is about 515.9059680826.

Adding to 137313000 its reverse (313731), we get a palindrome (137626731).

The spelling of 137313000 in words is "one hundred thirty-seven million, three hundred thirteen thousand".