138733504 has 168 divisors, whose sum is σ = 357548688. Its totient is φ = 52899840.

The previous prime is 138733501. The next prime is 138733513. The reversal of 138733504 is 405337831.

It is a self number, because there is not a number n which added to its sum of digits gives 138733504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138733501) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1671447 + ... + 1671529.

It is an arithmetic number, because the mean of its divisors is an integer number (2128266).

Almost surely, 2^138733504 is an apocalyptic number.

138733504 is a gapful number since it is divisible by the number (14) 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 138733504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178774344).

138733504 is an abundant number, since it is smaller than the sum of its proper divisors (218815184).

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

138733504 is a wasteful number, since it uses less digits than its factorization.

138733504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 138733504 is about 11778.5187523729. The cubic root of 138733504 is about 517.6788854682.

The spelling of 138733504 in words is "one hundred thirty-eight million, seven hundred thirty-three thousand, five hundred four".