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138590136 = 23334491429
BaseRepresentation
bin10000100001010…
…11011110111000
3100122210002221000
420100223132320
5240434341021
621430245000
73301665606
oct1020533670
9318702830
10138590136
1171259903
123a4b6760
13229356c9
1414598876
15c278b26
hex842b7b8

138590136 has 64 divisors (see below), whose sum is σ = 386100000. Its totient is φ = 46061568.

The previous prime is 138590131. The next prime is 138590143. The reversal of 138590136 is 631095831.

It is a happy number.

138590136 is a `hidden beast` number, since 1 + 38 + 590 + 1 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 138590136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138590131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96270 + ... + 97698.

Almost surely, 2138590136 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 138590136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193050000).

138590136 is an abundant number, since it is smaller than the sum of its proper divisors (247509864).

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

138590136 is a wasteful number, since it uses less digits than its factorization.

138590136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 138590136 is about 11772.4311847638. The cubic root of 138590136 is about 517.5004998945.

The spelling of 138590136 in words is "one hundred thirty-eight million, five hundred ninety thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 449 898 1347 1429 1796 2694 2858 3592 4041 4287 5388 5716 8082 8574 10776 11432 12123 12861 16164 17148 24246 25722 32328 34296 38583 48492 51444 77166 96984 102888 154332 308664 641621 1283242 1924863 2566484 3849726 5132968 5774589 7699452 11549178 15398904 17323767 23098356 34647534 46196712 69295068 138590136