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138856158 = 23271676599
BaseRepresentation
bin10000100011011…
…00011011011110
3100200021121211200
420101230123132
5241021344113
621440100330
73304154310
oct1021543336
9320247750
10138856158
1171420761
123a6046a6
13229c980c
14146277b0
15c2cc873
hex846c6de

138856158 has 48 divisors (see below), whose sum is σ = 345945600. Its totient is φ = 39429648.

The previous prime is 138856121. The next prime is 138856171. The reversal of 138856158 is 851658831.

138856158 is a `hidden beast` number, since 1 + 3 + 88 + 561 + 5 + 8 = 666.

138856158 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1388561583 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17743 + ... + 24341.

It is an arithmetic number, because the mean of its divisors is an integer number (7207200).

Almost surely, 2138856158 is an apocalyptic number.

138856158 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138856158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172972800).

138856158 is an abundant number, since it is smaller than the sum of its proper divisors (207089442).

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

138856158 is a wasteful number, since it uses less digits than its factorization.

138856158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6781 (or 6778 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The square root of 138856158 is about 11783.7242839435. The cubic root of 138856158 is about 517.8314001368.

The spelling of 138856158 in words is "one hundred thirty-eight million, eight hundred fifty-six thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 167 334 501 1002 1169 1503 2338 3006 3507 6599 7014 10521 13198 19797 21042 39594 46193 59391 92386 118782 138579 277158 415737 831474 1102033 2204066 3306099 6612198 7714231 9918297 15428462 19836594 23142693 46285386 69428079 138856158