137834020 has 24 divisors (see below), whose sum is σ = 290115000. Its totient is φ = 55007232.

The previous prime is 137834003. The next prime is 137834023. The reversal of 137834020 is 20438731.

It can be written as a sum of positive squares in 4 ways, for example, as 11451456 + 126382564 = 3384^2 + 11242^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 137834020.

It is not an unprimeable number, because it can be changed into a prime (137834023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1306 + ... + 16654.

It is an arithmetic number, because the mean of its divisors is an integer number (12088125).

Almost surely, 2^137834020 is an apocalyptic number.

137834020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137834020 is an abundant number, since it is smaller than the sum of its proper divisors (152280980).

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

137834020 is a wasteful number, since it uses less digits than its factorization.

137834020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15807 (or 15805 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 137834020 is about 11740.2734210069. The cubic root of 137834020 is about 516.5576618231.

The spelling of 137834020 in words is "one hundred thirty-seven million, eight hundred thirty-four thousand, twenty".