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138126402 = 232371571321
BaseRepresentation
bin10000011101110…
…10010001000010
3100121220112210200
420032322101002
5240330021102
621412310030
73265024611
oct1016722102
9317815720
10138126402
1170a72457
123a312316
13228025cb
14144b7878
15c1d651c
hex83ba442

138126402 has 48 divisors (see below), whose sum is σ = 309554232. Its totient is φ = 44478720.

The previous prime is 138126397. The next prime is 138126403. The reversal of 138126402 is 204621831.

138126402 is a `hidden beast` number, since 1 + 3 + 8 + 12 + 640 + 2 = 666.

138126402 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 138086001 + 40401 = 11751^2 + 201^2 .

It is not an unprimeable number, because it can be changed into a prime (138126403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103902 + ... + 105222.

Almost surely, 2138126402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138126402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154777116).

138126402 is an abundant number, since it is smaller than the sum of its proper divisors (171427830).

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

138126402 is a wasteful number, since it uses less digits than its factorization.

138126402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 138126402 is about 11752.7189194671. The cubic root of 138126402 is about 516.9226551561.

The spelling of 138126402 in words is "one hundred thirty-eight million, one hundred twenty-six thousand, four hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 157 222 314 333 471 666 942 1321 1413 2642 2826 3963 5809 7926 11618 11889 17427 23778 34854 48877 52281 97754 104562 146631 207397 293262 414794 439893 622191 879786 1244382 1866573 3733146 7673689 15347378 23021067 46042134 69063201 138126402