138429003720 has 128 divisors (see below), whose sum is σ = 474949059840. Its totient is φ = 31618560000.

The previous prime is 138429003679. The next prime is 138429003731. The reversal of 138429003720 is 27300924831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1146220 + ... + 1261220.

It is an arithmetic number, because the mean of its divisors is an integer number (3710539530).

Almost surely, 2^138429003720 is an apocalyptic number.

138429003720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138429003720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237474529920).

138429003720 is an abundant number, since it is smaller than the sum of its proper divisors (336520056120).

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

138429003720 is a wasteful number, since it uses less digits than its factorization.

138429003720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116455 (or 116451 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 138429003720 in words is "one hundred thirty-eight billion, four hundred twenty-nine million, three thousand, seven hundred twenty".