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135542122344 = 23321882529477
BaseRepresentation
bin111111000111011110…
…0001010011101101000
3110221212011102020020100
41332032330022131220
54210042240403334
6142133414025400
712535601013306
oct1761674123550
9427764366210
10135542122344
1152534aa3732
1222328948260
13ca21146075
1467bb569276
1537d46a3c99
hex1f8ef0a768

135542122344 has 24 divisors (see below), whose sum is σ = 367093248210. Its totient is φ = 45180707424.

The previous prime is 135542122333. The next prime is 135542122361. The reversal of 135542122344 is 443221245531.

It is a happy number.

135542122344 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 421 + 223 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72560196900 + 62981925444 = 269370^2 + 250962^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135542122299 and 135542122308.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 941264667 + ... + 941264810.

Almost surely, 2135542122344 is an apocalyptic number.

It is an amenable number.

135542122344 is an abundant number, since it is smaller than the sum of its proper divisors (231551125866).

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

135542122344 is a wasteful number, since it uses less digits than its factorization.

135542122344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882529489 (or 1882529482 counting only the distinct ones).

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

Adding to 135542122344 its reverse (443221245531), we get a palindrome (578763367875).

The spelling of 135542122344 in words is "one hundred thirty-five billion, five hundred forty-two million, one hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1882529477 3765058954 5647588431 7530117908 11295176862 15060235816 16942765293 22590353724 33885530586 45180707448 67771061172 135542122344