138746784 has 96 divisors (see below), whose sum is σ = 402361344. Its totient is φ = 41511680.

The previous prime is 138746771. The next prime is 138746801. The reversal of 138746784 is 487647831.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86857 + ... + 88439.

It is an arithmetic number, because the mean of its divisors is an integer number (4191264).

Almost surely, 2^138746784 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 138746784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201180672).

138746784 is an abundant number, since it is smaller than the sum of its proper divisors (263614560).

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

138746784 is a wasteful number, since it uses less digits than its factorization.

138746784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1682 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 138746784 is about 11779.0824770013. The cubic root of 138746784 is about 517.6954028824.

The spelling of 138746784 in words is "one hundred thirty-eight million, seven hundred forty-six thousand, seven hundred eighty-four".