138849120 has 96 divisors (see below), whose sum is σ = 485987040. Its totient is φ = 37025280.

The previous prime is 138849079. The next prime is 138849121. The reversal of 138849120 is 21948831.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138849121) 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 15 ways as a sum of consecutive naturals, for example, 11751 + ... + 20390.

It is an arithmetic number, because the mean of its divisors is an integer number (5062365).

Almost surely, 2^138849120 is an apocalyptic number.

138849120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138849120 is an abundant number, since it is smaller than the sum of its proper divisors (347137920).

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

138849120 is a wasteful number, since it uses less digits than its factorization.

138849120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32165 (or 32151 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 138849120 is about 11783.4256479175. The cubic root of 138849120 is about 517.8226511335.

The spelling of 138849120 in words is "one hundred thirty-eight million, eight hundred forty-nine thousand, one hundred twenty".