138129782784 has 96 divisors (see below), whose sum is σ = 420864312960. Its totient is φ = 39465639936.

The previous prime is 138129782741. The next prime is 138129782807. The reversal of 138129782784 is 487287921831.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1562854 + ... + 1648869.

It is an arithmetic number, because the mean of its divisors is an integer number (4384003260).

Almost surely, 2^138129782784 is an apocalyptic number.

138129782784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

138129782784 is an abundant number, since it is smaller than the sum of its proper divisors (282734530176).

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

138129782784 is an equidigital number, since it uses as much as digits as its factorization.

138129782784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3211755 (or 3211735 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 60.

The spelling of 138129782784 in words is "one hundred thirty-eight billion, one hundred twenty-nine million, seven hundred eighty-two thousand, seven hundred eighty-four".