138563040 has 384 divisors, whose sum is σ = 571318272. Its totient is φ = 27371520.

The previous prime is 138563027. The next prime is 138563053. The reversal of 138563040 is 40365831.

138563040 is digitally balanced in base 3, 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 (138563027) and next prime (138563053).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 138562989 and 138563007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 849999 + ... + 850161.

It is an arithmetic number, because the mean of its divisors is an integer number (1487808).

Almost surely, 2^138563040 is an apocalyptic number.

138563040 is a gapful number since it is divisible by the number (10) 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 138563040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285659136).

138563040 is an abundant number, since it is smaller than the sum of its proper divisors (432755232).

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

138563040 is a wasteful number, since it uses less digits than its factorization.

138563040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 138563040 is about 11771.2803041980. The cubic root of 138563040 is about 517.4667718869.

The spelling of 138563040 in words is "one hundred thirty-eight million, five hundred sixty-three thousand, forty".