138050640 has 480 divisors, whose sum is σ = 595795200. Its totient is φ = 28449792.

The previous prime is 138050629. The next prime is 138050677. The reversal of 138050640 is 46050831.

138050640 = 42³ + 43³ + ... + 153³.

138050640 is a `hidden beast` number, since 13 + 8 + 0 + 5 + 0 + 640 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3210459 + ... + 3210501.

It is an arithmetic number, because the mean of its divisors is an integer number (1241240).

Almost surely, 2^138050640 is an apocalyptic number.

138050640 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 138050640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297897600).

138050640 is an abundant number, since it is smaller than the sum of its proper divisors (457744560).

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

138050640 is a wasteful number, since it uses less digits than its factorization.

138050640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 73 counting only the distinct ones).

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

The square root of 138050640 is about 11749.4953083101. The cubic root of 138050640 is about 516.8281275927.

The spelling of 138050640 in words is "one hundred thirty-eight million, fifty thousand, six hundred forty".