137713220 has 24 divisors (see below), whose sum is σ = 290704344. Its totient is φ = 54798336.

The previous prime is 137713189. The next prime is 137713229. The reversal of 137713220 is 22317731.

It can be written as a sum of positive squares in 4 ways, for example, as 11195716 + 126517504 = 3346^2 + 11248^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 137713220.

It is not an unprimeable number, because it can be changed into a prime (137713229) 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, 13979 + ... + 21698.

It is an arithmetic number, because the mean of its divisors is an integer number (12112681).

Almost surely, 2^137713220 is an apocalyptic number.

137713220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137713220 is an abundant number, since it is smaller than the sum of its proper divisors (152991124).

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

137713220 is a wasteful number, since it uses less digits than its factorization.

137713220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35879 (or 35877 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 137713220 is about 11735.1276090207. The cubic root of 137713220 is about 516.4067111751.

The spelling of 137713220 in words is "one hundred thirty-seven million, seven hundred thirteen thousand, two hundred twenty".