138517434 has 96 divisors (see below), whose sum is σ = 340599168. Its totient is φ = 40320000.

The previous prime is 138517433. The next prime is 138517439. The reversal of 138517434 is 434715831.

It is a happy number.

138517434 is a `hidden beast` number, since 138 + 517 + 4 + 3 + 4 = 666.

138517434 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (138517433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 917259 + ... + 917409.

It is an arithmetic number, because the mean of its divisors is an integer number (3547908).

Almost surely, 2^138517434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138517434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170299584).

138517434 is an abundant number, since it is smaller than the sum of its proper divisors (202081734).

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

138517434 is a wasteful number, since it uses less digits than its factorization.

138517434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 321 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 138517434 is about 11769.3429723158. The cubic root of 138517434 is about 517.4099934482.

The spelling of 138517434 in words is "one hundred thirty-eight million, five hundred seventeen thousand, four hundred thirty-four".