137172126 has 32 divisors (see below), whose sum is σ = 337655808. Its totient is φ = 36177120.

The previous prime is 137172089. The next prime is 137172131. The reversal of 137172126 is 621271731.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 137172093 and 137172102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125070 + ... + 126161.

It is an arithmetic number, because the mean of its divisors is an integer number (10551744).

Almost surely, 2^137172126 is an apocalyptic number.

137172126 is an abundant number, since it is smaller than the sum of its proper divisors (200483682).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137172126 is a wasteful number, since it uses less digits than its factorization.

137172126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251256.

The product of its digits is 3528, while the sum is 30.

The square root of 137172126 is about 11712.0504609569. The cubic root of 137172126 is about 515.7294793168.

The spelling of 137172126 in words is "one hundred thirty-seven million, one hundred seventy-two thousand, one hundred twenty-six".