137000020 has 24 divisors (see below), whose sum is σ = 288071784. Its totient is φ = 54729216.

The previous prime is 137000009. The next prime is 137000027. The reversal of 137000020 is 20000731.

137000020 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14853316 + 122146704 = 3854^2 + 11052^2 .

137000020 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137000027) 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 7 ways as a sum of consecutive naturals, for example, 13144 + ... + 21136.

It is an arithmetic number, because the mean of its divisors is an integer number (12002991).

Almost surely, 2^137000020 is an apocalyptic number.

137000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137000020 is an abundant number, since it is smaller than the sum of its proper divisors (151071764).

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

137000020 is a wasteful number, since it uses less digits than its factorization.

137000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8859 (or 8857 counting only the distinct ones).

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

The square root of 137000020 is about 11704.7007650773. The cubic root of 137000020 is about 515.5136986334.

Adding to 137000020 its reverse (20000731), we get a palindrome (157000751).

The spelling of 137000020 in words is "one hundred thirty-seven million, twenty", and thus it is an aban number.