137827007 has 8 divisors (see below), whose sum is σ = 153615600. Its totient is φ = 122891904.

The previous prime is 137826959. The next prime is 137827031. The reversal of 137827007 is 700728731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137827007 - 2²⁶ = 70718143 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137827057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213032 + ... + 213677.

It is an arithmetic number, because the mean of its divisors is an integer number (19201950).

Almost surely, 2^137827007 is an apocalyptic number.

137827007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

137827007 is a deficient number, since it is larger than the sum of its proper divisors (15788593).

137827007 is a wasteful number, since it uses less digits than its factorization.

137827007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426745.

The product of its (nonzero) digits is 16464, while the sum is 35.

The square root of 137827007 is about 11739.9747444362. The cubic root of 137827007 is about 516.5489008503.

The spelling of 137827007 in words is "one hundred thirty-seven million, eight hundred twenty-seven thousand, seven".