138434784 has 48 divisors (see below), whose sum is σ = 364839552. Its totient is φ = 45961088.

The previous prime is 138434771. The next prime is 138434789. The reversal of 138434784 is 487434831.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×138434784² = 38328378842253312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138434789) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22507 + ... + 27989.

It is an arithmetic number, because the mean of its divisors is an integer number (7600824).

Almost surely, 2^138434784 is an apocalyptic number.

It is an amenable number.

138434784 is an abundant number, since it is smaller than the sum of its proper divisors (226404768).

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

138434784 is a wasteful number, since it uses less digits than its factorization.

138434784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5759 (or 5751 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 138434784 is about 11765.8312073563. The cubic root of 138434784 is about 517.3070643007.

The spelling of 138434784 in words is "one hundred thirty-eight million, four hundred thirty-four thousand, seven hundred eighty-four".