138144552 has 128 divisors (see below), whose sum is σ = 435240960. Its totient is φ = 35562240.

The previous prime is 138144541. The next prime is 138144557. The reversal of 138144552 is 255441831.

138144552 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (138144557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93177 + ... + 94647.

It is an arithmetic number, because the mean of its divisors is an integer number (3400320).

Almost surely, 2^138144552 is an apocalyptic number.

138144552 is a gapful number since it is divisible by the number (12) 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 138144552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217620480).

138144552 is an abundant number, since it is smaller than the sum of its proper divisors (297096408).

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

138144552 is a wasteful number, since it uses less digits than its factorization.

138144552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1539 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 138144552 is about 11753.4910558523. The cubic root of 138144552 is about 516.9452956147.

The spelling of 138144552 in words is "one hundred thirty-eight million, one hundred forty-four thousand, five hundred fifty-two".