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135468477 = 3353137691
BaseRepresentation
bin10000001001100…
…01010110111101
3100102220111211000
420010301112331
5234134442402
621235320513
73233314554
oct1004612675
9312814730
10135468477
116a517521
1239450139
13220b1881
1413dc4d9b
15bd5dc1c
hex81315bd

135468477 has 32 divisors (see below), whose sum is σ = 206271360. Its totient is φ = 87834240.

The previous prime is 135468409. The next prime is 135468479. The reversal of 135468477 is 774864531.

135468477 is a `hidden beast` number, since 135 + 46 + 8 + 477 = 666.

It is not a de Polignac number, because 135468477 - 27 = 135468349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135468479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195702 + ... + 196392.

It is an arithmetic number, because the mean of its divisors is an integer number (6445980).

Almost surely, 2135468477 is an apocalyptic number.

It is an amenable number.

135468477 is a deficient number, since it is larger than the sum of its proper divisors (70802883).

135468477 is a wasteful number, since it uses less digits than its factorization.

135468477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 884 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 135468477 is about 11639.0926192723. The cubic root of 135468477 is about 513.5854947755.

The spelling of 135468477 in words is "one hundred thirty-five million, four hundred sixty-eight thousand, four hundred seventy-seven".

Divisors: 1 3 9 27 53 137 159 411 477 691 1233 1431 2073 3699 6219 7261 18657 21783 36623 65349 94667 109869 196047 284001 329607 852003 988821 2556009 5017351 15052053 45156159 135468477