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135969744 = 24323791559
BaseRepresentation
bin10000001101010…
…11101111010000
3100110211222102110
420012223233100
5234302012434
621254145320
73240503151
oct1006535720
9313758373
10135969744
116a82a099
1239652240
1322228a91
14140b5928
15be0c4e9
hex81abbd0

135969744 has 80 divisors (see below), whose sum is σ = 371404800. Its totient is φ = 42776448.

The previous prime is 135969707. The next prime is 135969781. The reversal of 135969744 is 447969531.

It is an interprime number because it is at equal distance from previous prime (135969707) and next prime (135969781).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 135969693 and 135969702.

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 15 ways as a sum of consecutive naturals, for example, 86437 + ... + 87995.

It is an arithmetic number, because the mean of its divisors is an integer number (4642560).

Almost surely, 2135969744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135969744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185702400).

135969744 is an abundant number, since it is smaller than the sum of its proper divisors (235435056).

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

135969744 is a wasteful number, since it uses less digits than its factorization.

135969744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1666 counting only the distinct ones).

The product of its digits is 816480, while the sum is 48.

The square root of 135969744 is about 11660.6065022365. The cubic root of 135969744 is about 514.2181796681.

The spelling of 135969744 in words is "one hundred thirty-five million, nine hundred sixty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 79 92 138 158 184 237 276 316 368 474 552 632 948 1104 1264 1559 1817 1896 3118 3634 3792 4677 5451 6236 7268 9354 10902 12472 14536 18708 21804 24944 29072 35857 37416 43608 71714 74832 87216 107571 123161 143428 215142 246322 286856 369483 430284 492644 573712 738966 860568 985288 1477932 1721136 1970576 2832703 2955864 5665406 5911728 8498109 11330812 16996218 22661624 33992436 45323248 67984872 135969744