138455120 has 40 divisors (see below), whose sum is σ = 324250080. Its totient is φ = 54979200.

The previous prime is 138455113. The next prime is 138455131. The reversal of 138455120 is 21554831.

138455120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4895 + ... + 17345.

It is an arithmetic number, because the mean of its divisors is an integer number (8106252).

Almost surely, 2^138455120 is an apocalyptic number.

138455120 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 138455120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162125040).

138455120 is an abundant number, since it is smaller than the sum of its proper divisors (185794960).

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

138455120 is a wasteful number, since it uses less digits than its factorization.

138455120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12603 (or 12597 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 138455120 is about 11766.6953729584. The cubic root of 138455120 is about 517.3323937761.

The spelling of 138455120 in words is "one hundred thirty-eight million, four hundred fifty-five thousand, one hundred twenty".