138324780 has 288 divisors, whose sum is σ = 496036800. Its totient is φ = 31933440.

The previous prime is 138324773. The next prime is 138324817. The reversal of 138324780 is 87423831.

138324780 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1894824 + ... + 1894896.

It is an arithmetic number, because the mean of its divisors is an integer number (1722350).

Almost surely, 2^138324780 is an apocalyptic number.

138324780 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 138324780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248018400).

138324780 is an abundant number, since it is smaller than the sum of its proper divisors (357712020).

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

138324780 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 138324780 = (318247830)₉.

138324780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 138324780 is about 11761.1555554716. The cubic root of 138324780 is about 517.1700059586.

The spelling of 138324780 in words is "one hundred thirty-eight million, three hundred twenty-four thousand, seven hundred eighty".