137827107 has 36 divisors (see below), whose sum is σ = 222211080. Its totient is φ = 82241280.

The previous prime is 137827103. The next prime is 137827187. The reversal of 137827107 is 701728731.

It is a happy number.

It is not a de Polignac number, because 137827107 - 2² = 137827103 is a prime.

It is a super-2 number, since 2×137827107² = 37992622847978898, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137827103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72019 + ... + 73907.

It is an arithmetic number, because the mean of its divisors is an integer number (6172530).

Almost surely, 2^137827107 is an apocalyptic number.

137827107 is a deficient number, since it is larger than the sum of its proper divisors (84383973).

137827107 is a wasteful number, since it uses less digits than its factorization.

137827107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 137827107 is about 11739.9790033884. The cubic root of 137827107 is about 516.5490257771.

The spelling of 137827107 in words is "one hundred thirty-seven million, eight hundred twenty-seven thousand, one hundred seven".