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135053635164 = 223721491541497
BaseRepresentation
bin111110111000111010…
…0101110111001011100
3110220121010020111210120
41331301310232321130
54203042212311124
6142013124034540
712520516646400
oct1756164567134
9426533214716
10135053635164
1152304290018
1222211232a50
13c973b922b6
14677272d100
1537a6861d79
hex1f71d2ee5c

135053635164 has 72 divisors (see below), whose sum is σ = 369034621200. Its totient is φ = 38327756544.

The previous prime is 135053635151. The next prime is 135053635219. The reversal of 135053635164 is 461536350531.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 683137 + ... + 858360.

It is an arithmetic number, because the mean of its divisors is an integer number (5125480850).

Almost surely, 2135053635164 is an apocalyptic number.

135053635164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135053635164 is an abundant number, since it is smaller than the sum of its proper divisors (233980986036).

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

135053635164 is a wasteful number, since it uses less digits than its factorization.

135053635164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541667 (or 1541658 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 42.

Adding to 135053635164 its reverse (461536350531), we get a palindrome (596589985695).

The spelling of 135053635164 in words is "one hundred thirty-five billion, fifty-three million, six hundred thirty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 149 196 294 298 447 588 596 894 1043 1788 2086 3129 4172 6258 7301 12516 14602 21903 29204 43806 87612 1541497 3082994 4624491 6165988 9248982 10790479 18497964 21580958 32371437 43161916 64742874 75533353 129485748 151066706 226600059 229683053 302133412 453200118 459366106 689049159 906400236 918732212 1378098318 1607781371 2756196636 3215562742 4823344113 6431125484 9646688226 11254469597 19293376452 22508939194 33763408791 45017878388 67526817582 135053635164