138004560 has 240 divisors, whose sum is σ = 498301440. Its totient is φ = 35458560.

The previous prime is 138004541. The next prime is 138004579. The reversal of 138004560 is 65400831.

It is an interprime number because it is at equal distance from previous prime (138004541) and next prime (138004579).

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602526 + ... + 602754.

It is an arithmetic number, because the mean of its divisors is an integer number (2076256).

Almost surely, 2^138004560 is an apocalyptic number.

138004560 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 138004560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249150720).

138004560 is an abundant number, since it is smaller than the sum of its proper divisors (360296880).

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

138004560 is a wasteful number, since it uses less digits than its factorization.

138004560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 138004560 is about 11747.5342093564. The cubic root of 138004560 is about 516.7706170772.

The spelling of 138004560 in words is "one hundred thirty-eight million, four thousand, five hundred sixty".