137802105 has 24 divisors (see below), whose sum is σ = 272980032. Its totient is φ = 62995104.

The previous prime is 137802103. The next prime is 137802121. The reversal of 137802105 is 501208731.

137802105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137802105 - 2¹ = 137802103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137802103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218419 + ... + 219048.

It is an arithmetic number, because the mean of its divisors is an integer number (11374168).

Almost surely, 2^137802105 is an apocalyptic number.

137802105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137802105 is a deficient number, since it is larger than the sum of its proper divisors (135177927).

137802105 is a wasteful number, since it uses less digits than its factorization.

137802105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437485 (or 437482 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 137802105 is about 11738.9141320652. The cubic root of 137802105 is about 516.5177896872.

The spelling of 137802105 in words is "one hundred thirty-seven million, eight hundred two thousand, one hundred five".