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135099954 = 23311792879
BaseRepresentation
bin10000000110101…
…11011000110010
3100102012210022000
420003113120302
5234041144304
621223354430
73230221263
oct1003273062
9312183260
10135099954
116a295660
12392b2a16
1321cb2c02
1413d2a96a
15bcd9939
hex80d7632

135099954 has 64 divisors (see below), whose sum is σ = 331776000. Its totient is φ = 40407120.

The previous prime is 135099931. The next prime is 135099977. The reversal of 135099954 is 459990531.

It is a happy number.

135099954 is a `hidden beast` number, since 1 + 3 + 509 + 99 + 54 = 666.

It is an interprime number because it is at equal distance from previous prime (135099931) and next prime (135099977).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45487 + ... + 48365.

It is an arithmetic number, because the mean of its divisors is an integer number (5184000).

Almost surely, 2135099954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135099954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165888000).

135099954 is an abundant number, since it is smaller than the sum of its proper divisors (196676046).

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

135099954 is a wasteful number, since it uses less digits than its factorization.

135099954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 135099954 is about 11623.2505780440. The cubic root of 135099954 is about 513.1193593884.

The spelling of 135099954 in words is "one hundred thirty-five million, ninety-nine thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 79 99 158 198 237 297 474 594 711 869 1422 1738 2133 2607 2879 4266 5214 5758 7821 8637 15642 17274 23463 25911 31669 46926 51822 63338 77733 95007 155466 190014 227441 285021 454882 570042 682323 855063 1364646 1710126 2046969 2501851 4093938 5003702 6140907 7505553 12281814 15011106 22516659 45033318 67549977 135099954