138558144 has 56 divisors (see below), whose sum is σ = 372107968. Its totient is φ = 45492480.

The previous prime is 138558139. The next prime is 138558149. The reversal of 138558144 is 441855831.

It is an interprime number because it is at equal distance from previous prime (138558139) and next prime (138558149).

It is a super-4 number, since 4×138558144⁴ (a number of 34 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (138558149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7479 + ... + 18249.

Almost surely, 2^138558144 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 138558144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186053984).

138558144 is an abundant number, since it is smaller than the sum of its proper divisors (233549824).

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

138558144 is a wasteful number, since it uses less digits than its factorization.

138558144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10853 (or 10843 counting only the distinct ones).

The product of its digits is 76800, while the sum is 39.

The square root of 138558144 is about 11771.0723385765. The cubic root of 138558144 is about 517.4606770746.

The spelling of 138558144 in words is "one hundred thirty-eight million, five hundred fifty-eight thousand, one hundred forty-four".