138513735 has 36 divisors (see below), whose sum is σ = 248162616. Its totient is φ = 71468640.

The previous prime is 138513733. The next prime is 138513761. The reversal of 138513735 is 537315831.

It is a happy number.

138513735 is a `hidden beast` number, since 138 + 513 + 7 + 3 + 5 = 666.

It is not a de Polignac number, because 138513735 - 2¹ = 138513733 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 138513735.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138513731) 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 35 ways as a sum of consecutive naturals, for example, 41644 + ... + 44846.

It is an arithmetic number, because the mean of its divisors is an integer number (6893406).

Almost surely, 2^138513735 is an apocalyptic number.

138513735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138513735 is a deficient number, since it is larger than the sum of its proper divisors (109648881).

138513735 is a wasteful number, since it uses less digits than its factorization.

138513735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 3242 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 138513735 is about 11769.1858257060. The cubic root of 138513735 is about 517.4053877305.

The spelling of 138513735 in words is "one hundred thirty-eight million, five hundred thirteen thousand, seven hundred thirty-five".