138075135 has 32 divisors (see below), whose sum is σ = 243516672. Its totient is φ = 66247680.

The previous prime is 138075121. The next prime is 138075137. The reversal of 138075135 is 531570831.

138075135 = 5253² + 5254² + ... + 5257².

It is not a de Polignac number, because 138075135 - 2⁸ = 138074879 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 138075096 and 138075105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138075137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11692 + ... + 20318.

It is an arithmetic number, because the mean of its divisors is an integer number (7609896).

Almost surely, 2^138075135 is an apocalyptic number.

138075135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138075135 is a deficient number, since it is larger than the sum of its proper divisors (105441537).

138075135 is a wasteful number, since it uses less digits than its factorization.

138075135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8743.

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 138075135 is about 11750.5376472738. The cubic root of 138075135 is about 516.8586935654.

The spelling of 138075135 in words is "one hundred thirty-eight million, seventy-five thousand, one hundred thirty-five".