138284148118050 has 432 divisors, whose sum is σ = 428329143680256. Its totient is φ = 31687498080000.

The previous prime is 138284148118049. The next prime is 138284148118121. The reversal of 138284148118050 is 50811841482831.

138284148118050 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 84 + 1 + 481 + 1 + 80 + 5 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 283485360 + ... + 283972740.

It is an arithmetic number, because the mean of its divisors is an integer number (991502647408).

Almost surely, 2^{138284148118050} is an apocalyptic number.

138284148118050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138284148118050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214164571840128).

138284148118050 is an abundant number, since it is smaller than the sum of its proper divisors (290044995562206).

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

138284148118050 is a wasteful number, since it uses less digits than its factorization.

138284148118050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487527 (or 487476 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 54.

The spelling of 138284148118050 in words is "one hundred thirty-eight trillion, two hundred eighty-four billion, one hundred forty-eight million, one hundred eighteen thousand, fifty".