137020 has 48 divisors (see below), whose sum is σ = 338688. Its totient is φ = 46080.

The previous prime is 136999. The next prime is 137029. The reversal of 137020 is 20731.

137020 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 (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137029) by changing a digit.

137020 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4405 + ... + 4435.

It is an arithmetic number, because the mean of its divisors is an integer number (7056).

2¹³⁷⁰²⁰ is an apocalyptic number.

137020 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 137020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344).

137020 is an abundant number, since it is smaller than the sum of its proper divisors (201668).

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

137020 is a wasteful number, since it uses less digits than its factorization.

137020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 137020 is about 370.1621266418. The cubic root of 137020 is about 51.5538758150.

Adding to 137020 its reverse (20731), we get a palindrome (157751).

The spelling of 137020 in words is "one hundred thirty-seven thousand, twenty".