137334105 has 12 divisors (see below), whose sum is σ = 238045860. Its totient is φ = 73244832.

The previous prime is 137334089. The next prime is 137334137. The reversal of 137334105 is 501433731.

137334105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 63872064 + 73462041 = 7992^2 + 8571^2 .

It is not a de Polignac number, because 137334105 - 2⁴ = 137334089 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1525890 + ... + 1525979.

It is an arithmetic number, because the mean of its divisors is an integer number (19837155).

Almost surely, 2^137334105 is an apocalyptic number.

137334105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137334105 is a deficient number, since it is larger than the sum of its proper divisors (100711755).

137334105 is a wasteful number, since it uses less digits than its factorization.

137334105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051880 (or 3051877 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 137334105 is about 11718.9634780556. The cubic root of 137334105 is about 515.9323983008.

Adding to 137334105 its reverse (501433731), we get a palindrome (638767836).

The spelling of 137334105 in words is "one hundred thirty-seven million, three hundred thirty-four thousand, one hundred five".