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138765263 = 7131937901
BaseRepresentation
bin10000100010101…
…10001111001111
3100200010000011012
420101112033033
5241010442023
621434115435
73303325310
oct1021261717
9320100135
10138765263
117136943a
123a57bb7b
1322997330
1414602607
15c2b0978
hex84563cf

138765263 has 16 divisors (see below), whose sum is σ = 171694656. Its totient is φ = 109209600.

The previous prime is 138765259. The next prime is 138765299. The reversal of 138765263 is 362567831.

138765263 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 138765263 - 22 = 138765259 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 138765263.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138765223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13613 + ... + 21513.

It is an arithmetic number, because the mean of its divisors is an integer number (10730916).

Almost surely, 2138765263 is an apocalyptic number.

138765263 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

138765263 is a deficient number, since it is larger than the sum of its proper divisors (32929393).

138765263 is a wasteful number, since it uses less digits than its factorization.

138765263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8114.

The product of its digits is 181440, while the sum is 41.

The square root of 138765263 is about 11779.8668498417. The cubic root of 138765263 is about 517.7183849615.

The spelling of 138765263 in words is "one hundred thirty-eight million, seven hundred sixty-five thousand, two hundred sixty-three".

Divisors: 1 7 13 91 193 1351 2509 7901 17563 55307 102713 718991 1524893 10674251 19823609 138765263