138050784 has 96 divisors (see below), whose sum is σ = 420215040. Its totient is φ = 44009856.

The previous prime is 138050729. The next prime is 138050791. The reversal of 138050784 is 487050831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16399 + ... + 23345.

It is an arithmetic number, because the mean of its divisors is an integer number (4377240).

Almost surely, 2^138050784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138050784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210107520).

138050784 is an abundant number, since it is smaller than the sum of its proper divisors (282164256).

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

138050784 is a wasteful number, since it uses less digits than its factorization.

138050784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6989 (or 6975 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 138050784 is about 11749.5014362312. The cubic root of 138050784 is about 516.8283072930.

The spelling of 138050784 in words is "one hundred thirty-eight million, fifty thousand, seven hundred eighty-four".