138657144 has 64 divisors (see below), whose sum is σ = 358525440. Its totient is φ = 44660480.

The previous prime is 138657131. The next prime is 138657157. The reversal of 138657144 is 441756831.

138657144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138657131) and next prime (138657157).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92884 + ... + 94364.

It is an arithmetic number, because the mean of its divisors is an integer number (5601960).

Almost surely, 2^138657144 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 138657144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

138657144 is an abundant number, since it is smaller than the sum of its proper divisors (219868296).

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

138657144 is a wasteful number, since it uses less digits than its factorization.

138657144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1616 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 138657144 is about 11775.2768120329. The cubic root of 138657144 is about 517.5838898752.

The spelling of 138657144 in words is "one hundred thirty-eight million, six hundred fifty-seven thousand, one hundred forty-four".