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138851328 = 2103711587
BaseRepresentation
bin10000100011010…
…11010000000000
3100200021101012210
420101223100000
5241021220303
621440022120
73304134240
oct1021532000
9320241183
10138851328
1171418070
123a601940
13229c7565
1414625b20
15c2cb203
hex846b400

138851328 has 176 divisors, whose sum is σ = 462196224. Its totient is φ = 36003840.

The previous prime is 138851327. The next prime is 138851347. The reversal of 138851328 is 823158831.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138851327) 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, 236251 + ... + 236837.

Almost surely, 2138851328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138851328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231098112).

138851328 is an abundant number, since it is smaller than the sum of its proper divisors (323344896).

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

138851328 is a wasteful number, since it uses less digits than its factorization.

138851328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 610 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 138851328 is about 11783.5193384659. The cubic root of 138851328 is about 517.8253959507.

The spelling of 138851328 in words is "one hundred thirty-eight million, eight hundred fifty-one thousand, three hundred twenty-eight".