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135352504014 = 237131259196901
BaseRepresentation
bin111111000001110100…
…0110100111011001110
3110221100221121121210020
41332003220310323032
54204200220112024
6142102521523010
712531106205220
oct1760350647316
9427327547706
10135352504014
1152447a61672
1222295343466
13c9c0a85280
1467a02ca410
1537c2bea979
hex1f83a34ece

135352504014 has 64 divisors (see below), whose sum is σ = 333441722880. Its totient is φ = 35668828800.

The previous prime is 135352503961. The next prime is 135352504031. The reversal of 135352504014 is 410405253531.

It is a super-2 number, since 2×1353525040142 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 588964 + ... + 785864.

It is an arithmetic number, because the mean of its divisors is an integer number (5210026920).

Almost surely, 2135352504014 is an apocalyptic number.

135352504014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135352504014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166720861440).

135352504014 is an abundant number, since it is smaller than the sum of its proper divisors (198089218866).

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

135352504014 is a wasteful number, since it uses less digits than its factorization.

135352504014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198185.

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 135352504014 its reverse (410405253531), we get a palindrome (545757757545).

The spelling of 135352504014 in words is "one hundred thirty-five billion, three hundred fifty-two million, five hundred four thousand, fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 1259 2518 3777 7554 8813 16367 17626 26439 32734 49101 52878 98202 114569 196901 229138 343707 393802 590703 687414 1181406 1378307 2559713 2756614 4134921 5119426 7679139 8269842 15358278 17917991 35835982 53753973 107507946 247898359 495796718 743695077 1487390154 1735288513 3222678667 3470577026 5205865539 6445357334 9668036001 10411731078 19336072002 22558750669 45117501338 67676252007 135352504014