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138375765 = 325111914713
BaseRepresentation
bin10000011111101…
…11001001010101
3100122101012212100
420033313021111
5240411011030
621421512313
73300113613
oct1017671125
9318335770
10138375765
1171122840
123a412699
132288bc68
14145406b3
15c235360
hex83f7255

138375765 has 48 divisors (see below), whose sum is σ = 275446080. Its totient is φ = 63555840.

The previous prime is 138375761. The next prime is 138375781. The reversal of 138375765 is 567573831.

It is not a de Polignac number, because 138375765 - 22 = 138375761 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 138375765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138375761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2049 + ... + 16761.

It is an arithmetic number, because the mean of its divisors is an integer number (5738460).

Almost surely, 2138375765 is an apocalyptic number.

138375765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138375765 is a deficient number, since it is larger than the sum of its proper divisors (137070315).

138375765 is a wasteful number, since it uses less digits than its factorization.

138375765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14754 (or 14751 counting only the distinct ones).

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

The square root of 138375765 is about 11763.3228723860. The cubic root of 138375765 is about 517.2335392214.

The spelling of 138375765 in words is "one hundred thirty-eight million, three hundred seventy-five thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 11 15 19 33 45 55 57 95 99 165 171 209 285 495 627 855 1045 1881 3135 9405 14713 44139 73565 132417 161843 220695 279547 485529 662085 809215 838641 1397735 1456587 2427645 2515923 3075017 4193205 7282935 9225051 12579615 15375085 27675153 46125255 138375765