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135347212 = 227211213439
BaseRepresentation
bin10000001000100…
…11110000001100
3100102200100110201
420010103300030
5234122102322
621232543244
73232301200
oct1004236014
9312610421
10135347212
116a444400
12393b1b24
132206b610
1413d92b00
15bd37d27
hex8113c0c

135347212 has 108 divisors (see below), whose sum is σ = 326892720. Its totient is φ = 48565440.

The previous prime is 135347207. The next prime is 135347231. The reversal of 135347212 is 212743531.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 308089 + ... + 308527.

Almost surely, 2135347212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135347212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163446360).

135347212 is an abundant number, since it is smaller than the sum of its proper divisors (191545508).

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

135347212 is a wasteful number, since it uses less digits than its factorization.

135347212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 472 counting only the distinct ones).

The product of its digits is 5040, while the sum is 28.

The square root of 135347212 is about 11633.8820691977. The cubic root of 135347212 is about 513.4322031783.

It can be divided in two parts, 1353 and 47212, that multiplied together give a palindrome (63877836).

The spelling of 135347212 in words is "one hundred thirty-five million, three hundred forty-seven thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 121 143 154 182 196 242 286 308 364 439 484 539 572 637 847 878 1001 1078 1274 1573 1694 1756 2002 2156 2548 3073 3146 3388 4004 4829 5707 5929 6146 6292 7007 9658 11011 11414 11858 12292 14014 19316 21511 22022 22828 23716 28028 33803 39949 43022 44044 53119 62777 67606 77077 79898 86044 106238 125554 135212 154154 159796 212476 236621 251108 279643 308308 371833 439439 473242 559286 690547 743666 878878 946484 1118572 1381094 1487332 1757756 2602831 2762188 3076073 4833829 5205662 6152146 9667658 10411324 12304292 19335316 33836803 67673606 135347212