138617829 has 24 divisors (see below), whose sum is σ = 230380800. Its totient is φ = 78673248.

The previous prime is 138617827. The next prime is 138617837. The reversal of 138617829 is 928716831.

138617829 is a `hidden beast` number, since 1 + 3 + 8 + 617 + 8 + 29 = 666.

It is not a de Polignac number, because 138617829 - 2¹ = 138617827 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138617821) 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, 2004 + ... + 16770.

It is an arithmetic number, because the mean of its divisors is an integer number (9599200).

Almost surely, 2^138617829 is an apocalyptic number.

It is an amenable number.

138617829 is a deficient number, since it is larger than the sum of its proper divisors (91762971).

138617829 is a wasteful number, since it uses less digits than its factorization.

138617829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14929 (or 14926 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 138617829 is about 11773.6073061743. The cubic root of 138617829 is about 517.5349664814.

The spelling of 138617829 in words is "one hundred thirty-eight million, six hundred seventeen thousand, eight hundred twenty-nine".