138756735 has 48 divisors (see below), whose sum is σ = 267976800. Its totient is φ = 65947392.

The previous prime is 138756733. The next prime is 138756763. The reversal of 138756735 is 537657831.

138756735 is a `hidden beast` number, since 1 + 3 + 87 + 567 + 3 + 5 = 666.

It is not a de Polignac number, because 138756735 - 2¹ = 138756733 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138756733) 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 47 ways as a sum of consecutive naturals, for example, 12876 + ... + 21054.

It is an arithmetic number, because the mean of its divisors is an integer number (5582850).

Almost surely, 2^138756735 is an apocalyptic number.

138756735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138756735 is a deficient number, since it is larger than the sum of its proper divisors (129220065).

138756735 is a wasteful number, since it uses less digits than its factorization.

138756735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8232 (or 8229 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 138756735 is about 11779.5048707490. The cubic root of 138756735 is about 517.7077790583.

The spelling of 138756735 in words is "one hundred thirty-eight million, seven hundred fifty-six thousand, seven hundred thirty-five".