138149424 has 120 divisors (see below), whose sum is σ = 451037600. Its totient is φ = 39457152.

The previous prime is 138149413. The next prime is 138149461. The reversal of 138149424 is 424941831.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47994 + ... + 50790.

Almost surely, 2^138149424 is an apocalyptic number.

138149424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138149424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225518800).

138149424 is an abundant number, since it is smaller than the sum of its proper divisors (312888176).

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

138149424 is a wasteful number, since it uses less digits than its factorization.

138149424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 2809 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 138149424 is about 11753.6983115954. The cubic root of 138149424 is about 516.9513726498.

It can be divided in two parts, 1381 and 49424, that added together give a palindrome (50805).

The spelling of 138149424 in words is "one hundred thirty-eight million, one hundred forty-nine thousand, four hundred twenty-four".