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135934001281 = 1353892216761
BaseRepresentation
bin111111010011001001…
…1000100000010000001
3110222212110210202002001
41332212103010002001
54211343101020111
6142240333224001
712551366642431
oct1764623040201
9428773722061
10135934001281
1152716222121
1222418032001
13ca843a30b0
1468176182c1
153808cb11c1
hex1fa64c4081

135934001281 has 16 divisors (see below), whose sum is σ = 150828486480. Its totient is φ = 121726725120.

The previous prime is 135934001243. The next prime is 135934001321. The reversal of 135934001281 is 182100439531.

It can be written as a sum of positive squares in 8 ways, for example, as 40010000625 + 95924000656 = 200025^2 + 309716^2 .

It is not a de Polignac number, because 135934001281 - 27 = 135934001153 is a prime.

It is a super-2 number, since 2×1359340012812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 135934001281.

It is not an unprimeable number, because it can be changed into a prime (135934001221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1047060 + ... + 1169701.

It is an arithmetic number, because the mean of its divisors is an integer number (9426780405).

Almost surely, 2135934001281 is an apocalyptic number.

It is an amenable number.

135934001281 is a deficient number, since it is larger than the sum of its proper divisors (14894485199).

135934001281 is a wasteful number, since it uses less digits than its factorization.

135934001281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216916.

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 135934001281 in words is "one hundred thirty-five billion, nine hundred thirty-four million, one thousand, two hundred eighty-one".

Divisors: 1 13 53 89 689 1157 4717 61321 2216761 28817893 117488333 197291729 1527348329 2564792477 10456461637 135934001281