138117120 has 128 divisors (see below), whose sum is σ = 443540880. Its totient is φ = 36700160.

The previous prime is 138117101. The next prime is 138117127. The reversal of 138117120 is 21711831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138117127) by changing a digit.

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, 491380 + ... + 491660.

Almost surely, 2^138117120 is an apocalyptic number.

138117120 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 138117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221770440).

138117120 is an abundant number, since it is smaller than the sum of its proper divisors (305423760).

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

138117120 is an frugal number, since it uses more digits than its factorization.

138117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 138117120 is about 11752.3240254853. The cubic root of 138117120 is about 516.9110759467.

Adding to 138117120 its reverse (21711831), we get a palindrome (159828951).

The spelling of 138117120 in words is "one hundred thirty-eight million, one hundred seventeen thousand, one hundred twenty".