138857664 has 168 divisors, whose sum is σ = 416194240. Its totient is φ = 40803840.

The previous prime is 138857659. The next prime is 138857669. The reversal of 138857664 is 466758831.

It is an interprime number because it is at equal distance from previous prime (138857659) and next prime (138857669).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (138857669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 998907 + ... + 999045.

Almost surely, 2^138857664 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 138857664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208097120).

138857664 is an abundant number, since it is smaller than the sum of its proper divisors (277336576).

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

138857664 is a wasteful number, since it uses less digits than its factorization.

138857664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 198 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 138857664 is about 11783.7881854691. The cubic root of 138857664 is about 517.8332722210.

The spelling of 138857664 in words is "one hundred thirty-eight million, eight hundred fifty-seven thousand, six hundred sixty-four".