137966103 has 48 divisors (see below), whose sum is σ = 224640000. Its totient is φ = 80879040.

The previous prime is 137966093. The next prime is 137966141. The reversal of 137966103 is 301669731.

137966103 is a `hidden beast` number, since 1 + 37 + 9 + 6 + 610 + 3 = 666.

It is not a de Polignac number, because 137966103 - 2⁶ = 137966039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137966173) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 693198 + ... + 693396.

It is an arithmetic number, because the mean of its divisors is an integer number (4680000).

Almost surely, 2^137966103 is an apocalyptic number.

137966103 is a deficient number, since it is larger than the sum of its proper divisors (86673897).

137966103 is a wasteful number, since it uses less digits than its factorization.

137966103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 137966103 is about 11745.8972837327. The cubic root of 137966103 is about 516.7226107072.

The spelling of 137966103 in words is "one hundred thirty-seven million, nine hundred sixty-six thousand, one hundred three".