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135022720 = 275730139
BaseRepresentation
bin10000000110001…
…00100010000000
3100102001212100111
420003010202000
5234031211340
621222001104
73226450150
oct1003044200
9312055314
10135022720
116a242628
1239276194
1321c86a01
1413d0a760
15bcc1aea
hex80c4880

135022720 has 64 divisors (see below), whose sum is σ = 368913600. Its totient is φ = 46291968.

The previous prime is 135022711. The next prime is 135022729. The reversal of 135022720 is 27220531.

It is an interprime number because it is at equal distance from previous prime (135022711) and next prime (135022729).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1350227202 = 36462269832396800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135022691 and 135022700.

It is not an unprimeable number, because it can be changed into a prime (135022729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10590 + ... + 19549.

It is an arithmetic number, because the mean of its divisors is an integer number (5764275).

Almost surely, 2135022720 is an apocalyptic number.

135022720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135022720 is an abundant number, since it is smaller than the sum of its proper divisors (233890880).

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

135022720 is an equidigital number, since it uses as much as digits as its factorization.

135022720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30165 (or 30153 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 135022720 is about 11619.9277106185. The cubic root of 135022720 is about 513.0215606506.

The spelling of 135022720 in words is "one hundred thirty-five million, twenty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 30139 60278 120556 150695 210973 241112 301390 421946 482224 602780 843892 964448 1054865 1205560 1687784 1928896 2109730 2411120 3375568 3857792 4219460 4822240 6751136 8438920 9644480 13502272 16877840 19288960 27004544 33755680 67511360 135022720