138107088 has 270 divisors, whose sum is σ = 482712594. Its totient is φ = 36723456.

The previous prime is 138107071. The next prime is 138107093. The reversal of 138107088 is 880701831.

138107088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 134374464 + 3732624 = 11592^2 + 1932^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3732606 + ... + 3732642.

Almost surely, 2^138107088 is an apocalyptic number.

138107088 is a gapful number since it is divisible by the number (18) 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 138107088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241356297).

138107088 is an abundant number, since it is smaller than the sum of its proper divisors (344605506).

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

138107088 is a wasteful number, since it uses less digits than its factorization.

138107088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 138107088 is about 11751.8972085362. The cubic root of 138107088 is about 516.8985605360.

The spelling of 138107088 in words is "one hundred thirty-eight million, one hundred seven thousand, eighty-eight".