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135434032200152 = 23731206633775589
BaseRepresentation
bin11110110010110100110001…
…011000010011100111011000
3122202112100220120021200022022
4132302310301120103213120
5120222422344220401102
61200013311354514012
740345533400251230
oct3662646130234730
9582470816250268
10135434032200152
113a176283467834
1213234033435908
135a754b383680a
142563083888cc0
15109ce3b2c35a2
hex7b2d316139d8

135434032200152 has 64 divisors (see below), whose sum is σ = 299592160358400. Its totient is φ = 56168063464320.

The previous prime is 135434032200139. The next prime is 135434032200167. The reversal of 135434032200152 is 251002230434531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33983174 + ... + 37758762.

It is an arithmetic number, because the mean of its divisors is an integer number (4681127505600).

Almost surely, 2135434032200152 is an apocalyptic number.

It is an amenable number.

135434032200152 is an abundant number, since it is smaller than the sum of its proper divisors (164158128158248).

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

135434032200152 is a wasteful number, since it uses less digits than its factorization.

135434032200152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796296 (or 3796292 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 135434032200152 its reverse (251002230434531), we get a palindrome (386436262634683).

The spelling of 135434032200152 in words is "one hundred thirty-five trillion, four hundred thirty-four billion, thirty-two million, two hundred thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 1736 20663 41326 82652 144641 165304 289282 578564 640553 1157128 1281106 2562212 3775589 4483871 5124424 7551178 8967742 15102356 17935484 26429123 30204712 35870968 52858246 105716492 117043259 211432984 234086518 468173036 819302813 936346072 1638605626 3277211252 6554422504 78014995507 156029991014 312059982028 546104968549 624119964056 1092209937098 2184419874196 2418464860717 4368839748392 4836929721434 9673859442868 16929254025019 19347718885736 33858508050038 67717016100076 135434032200152