138513705 has 128 divisors (see below), whose sum is σ = 283668480. Its totient is φ = 56770560.

The previous prime is 138513691. The next prime is 138513709. The reversal of 138513705 is 507315831.

It is not a de Polignac number, because 138513705 - 2⁷ = 138513577 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (138513709) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1225729 + ... + 1225841.

It is an arithmetic number, because the mean of its divisors is an integer number (2216160).

Almost surely, 2^138513705 is an apocalyptic number.

138513705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138513705 is an abundant number, since it is smaller than the sum of its proper divisors (145154775).

138513705 is a wasteful number, since it uses less digits than its factorization.

138513705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191.

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

The square root of 138513705 is about 11769.1845511913. The cubic root of 138513705 is about 517.4053503764.

The spelling of 138513705 in words is "one hundred thirty-eight million, five hundred thirteen thousand, seven hundred five".