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135123333828 = 22371984663743
BaseRepresentation
bin111110111010111111…
…0100111001011000100
3110220202222101120101120
41331311332213023010
54203213033140303
6142024053553540
712522324246450
oct1756576471304
9426688346346
10135123333828
115233a66571a
12222306458b0
13c985456902
14677bab3660
1537aca2d553
hex1f75fa72c4

135123333828 has 48 divisors (see below), whose sum is σ = 379293573120. Its totient is φ = 36574736544.

The previous prime is 135123333827. The next prime is 135123333833. The reversal of 135123333828 is 828333321531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 135123333828.

It is not an unprimeable number, because it can be changed into a prime (135123333827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42330276 + ... + 42333467.

It is an arithmetic number, because the mean of its divisors is an integer number (7901949440).

Almost surely, 2135123333828 is an apocalyptic number.

It is an amenable number.

135123333828 is an abundant number, since it is smaller than the sum of its proper divisors (244170239292).

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

135123333828 is a wasteful number, since it uses less digits than its factorization.

135123333828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84663776 (or 84663774 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The spelling of 135123333828 in words is "one hundred thirty-five billion, one hundred twenty-three million, three hundred thirty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 84663743 169327486 253991229 338654972 507982458 592646201 1015964916 1185292402 1608611117 1777938603 2370584804 3217222234 3555877206 4825833351 6434444468 7111754412 9651666702 11260277819 19303333404 22520555638 33780833457 45041111276 67561666914 135123333828