138353436 has 72 divisors (see below), whose sum is σ = 380487744. Its totient is φ = 42134400.

The previous prime is 138353431. The next prime is 138353443. The reversal of 138353436 is 634353831.

138353436 is a `hidden beast` number, since 13 + 83 + 534 + 36 = 666.

138353436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 138353436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138353431) 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, 45805 + ... + 48731.

It is an arithmetic number, because the mean of its divisors is an integer number (5284552).

Almost surely, 2^138353436 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 138353436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190243872).

138353436 is an abundant number, since it is smaller than the sum of its proper divisors (242134308).

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

138353436 is a wasteful number, since it uses less digits than its factorization.

138353436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051 (or 3046 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 138353436 is about 11762.3737400237. The cubic root of 138353436 is about 517.2057166014.

It can be divided in two parts, 13835 and 3436, that added together give a palindrome (17271).

The spelling of 138353436 in words is "one hundred thirty-eight million, three hundred fifty-three thousand, four hundred thirty-six".