137306220 has 48 divisors (see below), whose sum is σ = 385163520. Its totient is φ = 36547776.

The previous prime is 137306173. The next prime is 137306237. The reversal of 137306220 is 22603731.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 36801 + ... + 40359.

It is an arithmetic number, because the mean of its divisors is an integer number (8024240).

Almost surely, 2^137306220 is an apocalyptic number.

137306220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137306220 is an abundant number, since it is smaller than the sum of its proper divisors (247857300).

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

137306220 is a wasteful number, since it uses less digits than its factorization.

137306220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214 (or 4212 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 137306220 is about 11717.7736793300. The cubic root of 137306220 is about 515.8974767768.

Adding to 137306220 its reverse (22603731), we get a palindrome (159909951).

The spelling of 137306220 in words is "one hundred thirty-seven million, three hundred six thousand, two hundred twenty".