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135264781 = 1941891951
BaseRepresentation
bin10000000111111…
…11101000001101
3100102112011101201
420003333220031
5234111433111
621231105501
73231505651
oct1003775015
9312464351
10135264781
116a398483
1239372291
132203cc42
1413d70a61
15bd1d6c1
hex80ffa0d

135264781 has 16 divisors (see below), whose sum is σ = 147571200. Its totient is φ = 123552000.

The previous prime is 135264719. The next prime is 135264791. The reversal of 135264781 is 187462531.

135264781 = T2150 + T2151 + ... + T2206.

135264781 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-135264781 is a prime.

It is a super-2 number, since 2×1352647812 = 36593121957955922, which 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 135264781.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135264791) 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, 68356 + ... + 70306.

It is an arithmetic number, because the mean of its divisors is an integer number (9223200).

Almost surely, 2135264781 is an apocalyptic number.

It is an amenable number.

135264781 is a deficient number, since it is larger than the sum of its proper divisors (12306419).

135264781 is a wasteful number, since it uses less digits than its factorization.

135264781 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100.

The product of its digits is 40320, while the sum is 37.

The square root of 135264781 is about 11630.3388170767. The cubic root of 135264781 is about 513.3279495228.

The spelling of 135264781 in words is "one hundred thirty-five million, two hundred sixty-four thousand, seven hundred eighty-one".

Divisors: 1 19 41 89 779 1691 1951 3649 37069 69331 79991 173639 1519829 3299141 7119199 135264781