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138522072 = 23313538377
BaseRepresentation
bin10000100000110…
…10110111011000
3100122122122120010
420100122313120
5240430201242
621425001520
73301263303
oct1020326730
9318578503
10138522072
1171212757
123a4832a0
1322910730
141457bb3a
15c26389c
hex841add8

138522072 has 64 divisors (see below), whose sum is σ = 380026080. Its totient is φ = 41812992.

The previous prime is 138522071. The next prime is 138522073. The reversal of 138522072 is 270225831.

It is an interprime number because it is at equal distance from previous prime (138522071) and next prime (138522073).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138522071) 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, 12348 + ... + 20724.

Almost surely, 2138522072 is an apocalyptic number.

138522072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138522072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190013040).

138522072 is an abundant number, since it is smaller than the sum of its proper divisors (241504008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138522072 is a wasteful number, since it uses less digits than its factorization.

138522072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8452 (or 8448 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 138522072 is about 11769.5400080037. The cubic root of 138522072 is about 517.4157682225.

The spelling of 138522072 in words is "one hundred thirty-eight million, five hundred twenty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 78 104 106 156 159 212 312 318 424 636 689 1272 1378 2067 2756 4134 5512 8268 8377 16536 16754 25131 33508 50262 67016 100524 108901 201048 217802 326703 435604 443981 653406 871208 887962 1306812 1331943 1775924 2613624 2663886 3551848 5327772 5771753 10655544 11543506 17315259 23087012 34630518 46174024 69261036 138522072