138870144 has 192 divisors, whose sum is σ = 484043040. Its totient is φ = 37306368.

The previous prime is 138870133. The next prime is 138870167. The reversal of 138870144 is 441078831.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 138870099 and 138870108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136582 + ... + 137594.

Almost surely, 2^138870144 is an apocalyptic number.

138870144 is a gapful number since it is divisible by the number (14) 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 138870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242021520).

138870144 is an abundant number, since it is smaller than the sum of its proper divisors (345172896).

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

138870144 is a wasteful number, since it uses less digits than its factorization.

138870144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 138870144 is about 11784.3177146579. The cubic root of 138870144 is about 517.8487853862.

The spelling of 138870144 in words is "one hundred thirty-eight million, eight hundred seventy thousand, one hundred forty-four".