138035436 has 192 divisors, whose sum is σ = 426639360. Its totient is φ = 33696000.

The previous prime is 138035413. The next prime is 138035539. The reversal of 138035436 is 634530831.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 138035397 and 138035406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1747245 + ... + 1747323.

It is an arithmetic number, because the mean of its divisors is an integer number (2222080).

Almost surely, 2^138035436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138035436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213319680).

138035436 is an abundant number, since it is smaller than the sum of its proper divisors (288603924).

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

138035436 is a wasteful number, since it uses less digits than its factorization.

138035436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 138035436 is about 11748.8482839809. The cubic root of 138035436 is about 516.8091535328.

The spelling of 138035436 in words is "one hundred thirty-eight million, thirty-five thousand, four hundred thirty-six".