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135353360177 = 726134506221
BaseRepresentation
bin111111000001110110…
…0000101111100110001
3110221101000020010012222
41332003230011330301
54204200430011202
6142102552130425
712531116402300
oct1760354057461
9427330203188
10135353360177
1152448496942
1222295696a15
13c9c0cc4b89
1467a0470437
1537c2d194a2
hex1f83b05f31

135353360177 has 12 divisors (see below), whose sum is σ = 157708757556. Its totient is φ = 115827878880.

The previous prime is 135353360173. The next prime is 135353360183. The reversal of 135353360177 is 771063353531.

It can be written as a sum of positive squares in 2 ways, for example, as 26503514401 + 108849845776 = 162799^2 + 329924^2 .

It is not a de Polignac number, because 135353360177 - 22 = 135353360173 is a prime.

It is a super-2 number, since 2×1353533601772 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (135353360173) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2223074 + ... + 2283147.

It is an arithmetic number, because the mean of its divisors is an integer number (13142396463).

Almost surely, 2135353360177 is an apocalyptic number.

It is an amenable number.

135353360177 is a deficient number, since it is larger than the sum of its proper divisors (22355397379).

135353360177 is an equidigital number, since it uses as much as digits as its factorization.

135353360177 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4506848 (or 4506841 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 44.

The spelling of 135353360177 in words is "one hundred thirty-five billion, three hundred fifty-three million, three hundred sixty thousand, one hundred seventy-seven".

Divisors: 1 7 49 613 4291 30037 4506221 31543547 220804829 2762313473 19336194311 135353360177