138378240 has 704 divisors, whose sum is σ = 660280320. Its totient is φ = 26542080.

The previous prime is 138378223. The next prime is 138378259. The reversal of 138378240 is 42873831.

It is a tau number, because it is divible by the number of its divisors (704).

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 = 138378195 and 138378204.

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, 10644474 + ... + 10644486.

Almost surely, 2^138378240 is an apocalyptic number.

138378240 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 138378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330140160).

138378240 is an abundant number, since it is smaller than the sum of its proper divisors (521902080).

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

138378240 is a wasteful number, since it uses less digits than its factorization.

138378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 138378240 is about 11763.4280717825. The cubic root of 138378240 is about 517.2366229632.

The spelling of 138378240 in words is "one hundred thirty-eight million, three hundred seventy-eight thousand, two hundred forty".