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135545772546 = 23317237234743
BaseRepresentation
bin111111000111100101…
…0000101101000000010
3110221212102021200101000
41332033022011220002
54210044204210141
6142134024152430
712535644025302
oct1761712055002
9427772250330
10135545772546
1152537067128
122232a008716
13ca21b23652
1467bbc39602
1537d4b755b6
hex1f8f285a02

135545772546 has 96 divisors (see below), whose sum is σ = 328622820480. Its totient is φ = 41374685952.

The previous prime is 135545772521. The next prime is 135545772559. The reversal of 135545772546 is 645277545531.

It is a happy number.

135545772546 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 4 + 577 + 25 + 46 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 135545772492 and 135545772501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460051 + ... + 694793.

It is an arithmetic number, because the mean of its divisors is an integer number (3423154380).

Almost surely, 2135545772546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135545772546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164311410240).

135545772546 is an abundant number, since it is smaller than the sum of its proper divisors (193077047934).

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

135545772546 is a wasteful number, since it uses less digits than its factorization.

135545772546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234825 (or 234802 counting only the distinct ones).

The product of its digits is 17640000, while the sum is 54.

The spelling of 135545772546 in words is "one hundred thirty-five billion, five hundred forty-five million, seven hundred seventy-two thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 17 18 27 34 37 51 54 74 102 111 153 222 289 306 333 459 578 629 666 867 918 999 1258 1734 1887 1998 2601 3774 5202 5661 7803 10693 11322 15606 16983 21386 32079 33966 64158 96237 192474 234743 288711 469486 577422 704229 1408458 2112687 3990631 4225374 6338061 7981262 8685491 11971893 12676122 17370982 23943786 26056473 35915679 52112946 67840727 71831358 78169419 107747037 135681454 147653347 156338838 203522181 215494074 234508257 295306694 407044362 442960041 469016514 610566543 885920082 1221133086 1328880123 1831699629 2510106899 2657760246 3663399258 3986640369 5020213798 7530320697 7973280738 15060641394 22590962091 45181924182 67772886273 135545772546