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135508977 = 3341167733
BaseRepresentation
bin10000001001110…
…11001111110001
3100102222120101000
420010323033301
5234142241402
621240232213
73233543622
oct1004731761
9312876330
10135508977
116a54499a
123946b669
13220c7136
1413dd5a49
15bd6ac1c
hex813b3f1

135508977 has 32 divisors (see below), whose sum is σ = 207164160. Its totient is φ = 87488640.

The previous prime is 135508949. The next prime is 135508979. The reversal of 135508977 is 779805531.

135508977 is a `hidden beast` number, since 1 + 3 + 550 + 8 + 97 + 7 = 666.

135508977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 135508977 - 26 = 135508913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135508979) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184503 + ... + 185235.

It is an arithmetic number, because the mean of its divisors is an integer number (6473880).

Almost surely, 2135508977 is an apocalyptic number.

It is an amenable number.

135508977 is a deficient number, since it is larger than the sum of its proper divisors (71655183).

135508977 is a wasteful number, since it uses less digits than its factorization.

135508977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The square root of 135508977 is about 11640.8323156036. The cubic root of 135508977 is about 513.6366706173.

The spelling of 135508977 in words is "one hundred thirty-five million, five hundred eight thousand, nine hundred seventy-seven".

Divisors: 1 3 9 27 41 123 167 369 501 733 1107 1503 2199 4509 6597 6847 19791 20541 30053 61623 90159 122411 184869 270477 367233 811431 1101699 3305097 5018851 15056553 45169659 135508977