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135131304 = 23371183881
BaseRepresentation
bin10000000110111…
…11000010101000
3100102021101022010
420003133002220
5234043200204
621224155520
73230411550
oct1003370250
9312241263
10135131304
116a307170
1239308ba0
1321cc4269
1413d38160
15bce3d89
hex80df0a8

135131304 has 128 divisors (see below), whose sum is σ = 426746880. Its totient is φ = 34636800.

The previous prime is 135131303. The next prime is 135131341. The reversal of 135131304 is 403131531.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (135131303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152944 + ... + 153824.

It is an arithmetic number, because the mean of its divisors is an integer number (3333960).

Almost surely, 2135131304 is an apocalyptic number.

135131304 is a gapful number since it is divisible by the number (14) 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 135131304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213373440).

135131304 is an abundant number, since it is smaller than the sum of its proper divisors (291615576).

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

135131304 is a wasteful number, since it uses less digits than its factorization.

135131304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 135131304 is about 11624.5990898611. The cubic root of 135131304 is about 513.1590461717.

Adding to 135131304 its reverse (403131531), we get a palindrome (538262835).

The spelling of 135131304 in words is "one hundred thirty-five million, one hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 83 84 88 132 154 166 168 231 249 264 308 332 462 498 581 616 664 881 913 924 996 1162 1743 1762 1826 1848 1992 2324 2643 2739 3486 3524 3652 4648 5286 5478 6167 6391 6972 7048 7304 9691 10572 10956 12334 12782 13944 18501 19173 19382 21144 21912 24668 25564 29073 37002 38346 38764 49336 51128 58146 67837 73123 74004 76692 77528 116292 135674 146246 148008 153384 203511 219369 232584 271348 292492 407022 438738 511861 542696 584984 804353 814044 877476 1023722 1535583 1608706 1628088 1754952 2047444 2413059 3071166 3217412 4094888 4826118 5630471 6142332 6434824 9652236 11260942 12284664 16891413 19304472 22521884 33782826 45043768 67565652 135131304