138419736 has 128 divisors (see below), whose sum is σ = 433305600. Its totient is φ = 35873280.

The previous prime is 138419711. The next prime is 138419741. The reversal of 138419736 is 637914831.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132705 + ... + 133743.

It is an arithmetic number, because the mean of its divisors is an integer number (3385200).

Almost surely, 2^138419736 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 138419736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216652800).

138419736 is an abundant number, since it is smaller than the sum of its proper divisors (294885864).

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

138419736 is a wasteful number, since it uses less digits than its factorization.

138419736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1125 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 138419736 is about 11765.1917111452. The cubic root of 138419736 is about 517.2883196891.

The spelling of 138419736 in words is "one hundred thirty-eight million, four hundred nineteen thousand, seven hundred thirty-six".