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135344221254 = 232111947765461
BaseRepresentation
bin111111000001100100…
…1001110110001000110
3110221100101000210222100
41332003021032301012
54204141110040004
6142102024212530
712530645620224
oct1760311166106
9427311023870
10135344221254
1152443314710
122229260a146
13c9bc145228
14679d171b14
1537c2111739
hex1f8324ec46

135344221254 has 96 divisors (see below), whose sum is σ = 343906767360. Its totient is φ = 38028052800.

The previous prime is 135344221253. The next prime is 135344221267. The reversal of 135344221254 is 452122443531.

It is a happy number.

135344221254 is a `hidden beast` number, since 1 + 353 + 4 + 42 + 212 + 54 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135344221253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205917 + ... + 559544.

It is an arithmetic number, because the mean of its divisors is an integer number (3582362160).

Almost surely, 2135344221254 is an apocalyptic number.

135344221254 is an abundant number, since it is smaller than the sum of its proper divisors (208562546106).

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

135344221254 is a wasteful number, since it uses less digits than its factorization.

135344221254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765546 (or 765543 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 135344221254 its reverse (452122443531), we get a palindrome (587466664785).

The spelling of 135344221254 in words is "one hundred thirty-five billion, three hundred forty-four million, two hundred twenty-one thousand, two hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 47 57 66 94 99 114 141 171 198 209 282 342 418 423 517 627 846 893 1034 1254 1551 1786 1881 2679 3102 3762 4653 5358 8037 9306 9823 16074 19646 29469 58938 88407 176814 765461 1530922 2296383 4592766 6889149 8420071 13778298 14543759 16840142 25260213 29087518 35976667 43631277 50520426 71953334 75780639 87262554 107930001 130893831 151561278 159981349 215860002 261787662 319962698 323790003 395743337 479944047 647580006 683556673 791486674 959888094 1187230011 1367113346 1439832141 2050670019 2374460022 2879664282 3561690033 4101340038 6152010057 7123380066 7519123403 12304020114 15038246806 22557370209 45114740418 67672110627 135344221254