138287424 has 112 divisors (see below), whose sum is σ = 409139136. Its totient is φ = 40857600.

The previous prime is 138287423. The next prime is 138287447. The reversal of 138287424 is 424782831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138287423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85794 + ... + 87390.

It is an arithmetic number, because the mean of its divisors is an integer number (3653028).

Almost surely, 2^138287424 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 138287424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204569568).

138287424 is an abundant number, since it is smaller than the sum of its proper divisors (270851712).

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

138287424 is a wasteful number, since it uses less digits than its factorization.

138287424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1654 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 138287424 is about 11759.5673389798. The cubic root of 138287424 is about 517.1234461108.

The spelling of 138287424 in words is "one hundred thirty-eight million, two hundred eighty-seven thousand, four hundred twenty-four".