138214176 has 48 divisors (see below), whose sum is σ = 378592704. Its totient is φ = 44067584.

The previous prime is 138214133. The next prime is 138214177. The reversal of 138214176 is 671412831.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (138214177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29091 + ... + 33506.

It is an arithmetic number, because the mean of its divisors is an integer number (7887348).

Almost surely, 2^138214176 is an apocalyptic number.

138214176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138214176 is an abundant number, since it is smaller than the sum of its proper divisors (240378528).

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

138214176 is a wasteful number, since it uses less digits than its factorization.

138214176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62633 (or 62625 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 138214176 is about 11756.4525261662. The cubic root of 138214176 is about 517.0321267731.

The spelling of 138214176 in words is "one hundred thirty-eight million, two hundred fourteen thousand, one hundred seventy-six".