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135461136 = 2436773577
BaseRepresentation
bin10000001001011…
…11100100010000
3100102220010202010
420010233210100
5234134224021
621235222520
73233254266
oct1004574420
9312803663
10135461136
116a511a58
1239447a40
13220ab425
1413dc2436
15bd5b976
hex812f910

135461136 has 80 divisors (see below), whose sum is σ = 360653504. Its totient is φ = 43794432.

The previous prime is 135461129. The next prime is 135461147. The reversal of 135461136 is 631164531.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234480 + ... + 235056.

Almost surely, 2135461136 is an apocalyptic number.

135461136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135461136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180326752).

135461136 is an abundant number, since it is smaller than the sum of its proper divisors (225192368).

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

135461136 is a wasteful number, since it uses less digits than its factorization.

135461136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 722 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 135461136 is about 11638.7772553649. Note that the first 3 decimals coincide. The cubic root of 135461136 is about 513.5762175884.

The spelling of 135461136 in words is "one hundred thirty-five million, four hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 73 134 146 201 219 268 292 402 438 536 577 584 804 876 1072 1154 1168 1608 1731 1752 2308 3216 3462 3504 4616 4891 6924 9232 9782 13848 14673 19564 27696 29346 38659 39128 42121 58692 77318 78256 84242 115977 117384 126363 154636 168484 231954 234768 252726 309272 336968 463908 505452 618544 673936 927816 1010904 1855632 2021808 2822107 5644214 8466321 11288428 16932642 22576856 33865284 45153712 67730568 135461136