137106060 has 96 divisors (see below), whose sum is σ = 472507392. Its totient is φ = 28926720.

The previous prime is 137106031. The next prime is 137106061. The reversal of 137106060 is 60601731.

137106060 = T₂₇ + T₂₈ + ... + T₉₃₆.

137106060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 137106060.

It is not an unprimeable number, because it can be changed into a prime (137106061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7096 + ... + 18015.

It is an arithmetic number, because the mean of its divisors is an integer number (4921952).

Almost surely, 2^137106060 is an apocalyptic number.

137106060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137106060 is an abundant number, since it is smaller than the sum of its proper divisors (335401332).

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

137106060 is a wasteful number, since it uses less digits than its factorization.

137106060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25143 (or 25141 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 137106060 is about 11709.2296928534. The cubic root of 137106060 is about 515.6466693556.

Adding to 137106060 its reverse (60601731), we get a palindrome (197707791).

The spelling of 137106060 in words is "one hundred thirty-seven million, one hundred six thousand, sixty".