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135591540 = 22357714547
BaseRepresentation
bin10000001010011…
…11011001110100
3100110010202121220
420011033121310
5234202412130
621242110340
73234336420
oct1005173164
9313122556
10135591540
116a5a0a27
12394ab3b0
13221258a6
1414017b80
15bd85410
hex814f674

135591540 has 96 divisors (see below), whose sum is σ = 440100864. Its totient is φ = 30549120.

The previous prime is 135591529. The next prime is 135591553. The reversal of 135591540 is 45195531.

It is a congruent number.

It is an unprimeable number.

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, 27547 + ... + 32093.

It is an arithmetic number, because the mean of its divisors is an integer number (4584384).

Almost surely, 2135591540 is an apocalyptic number.

135591540 is a gapful number since it is divisible by the number (10) 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 135591540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220050432).

135591540 is an abundant number, since it is smaller than the sum of its proper divisors (304509324).

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

135591540 is a wasteful number, since it uses less digits than its factorization.

135591540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4637 (or 4635 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

The square root of 135591540 is about 11644.3780426436. The cubic root of 135591540 is about 513.7409657364.

The spelling of 135591540 in words is "one hundred thirty-five million, five hundred ninety-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 71 84 105 140 142 210 213 284 355 420 426 497 710 852 994 1065 1420 1491 1988 2130 2485 2982 4260 4547 4970 5964 7455 9094 9940 13641 14910 18188 22735 27282 29820 31829 45470 54564 63658 68205 90940 95487 127316 136410 159145 190974 272820 318290 322837 381948 477435 636580 645674 954870 968511 1291348 1614185 1909740 1937022 2259859 3228370 3874044 4519718 4842555 6456740 6779577 9039436 9685110 11299295 13559154 19370220 22598590 27118308 33897885 45197180 67795770 135591540