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133541005540 = 225294331317107
BaseRepresentation
bin111110001011110101…
…0100000100011100100
3110202200200221222001011
41330113222200203210
54141442444134130
6141203051112004
712435161550445
oct1742752404344
9422620858034
10133541005540
11516a8463a98
1221a6a742604
13c79269a597
14666b89d2cc
153718b7052a
hex1f17aa08e4

133541005540 has 96 divisors (see below), whose sum is σ = 297818801280. Its totient is φ = 50211173376.

The previous prime is 133541005519. The next prime is 133541005547. The reversal of 133541005540 is 45500145331.

It is not an unprimeable number, because it can be changed into a prime (133541005547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7797667 + ... + 7814773.

It is an arithmetic number, because the mean of its divisors is an integer number (3102279180).

Almost surely, 2133541005540 is an apocalyptic number.

133541005540 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 133541005540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148909400640).

133541005540 is an abundant number, since it is smaller than the sum of its proper divisors (164277795740).

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

133541005540 is a wasteful number, since it uses less digits than its factorization.

133541005540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17501 (or 17499 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 133541005540 in words is "one hundred thirty-three billion, five hundred forty-one million, five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 29 43 58 86 116 145 172 215 290 313 430 580 626 860 1247 1252 1565 2494 3130 4988 6235 6260 9077 12470 13459 17107 18154 24940 26918 34214 36308 45385 53836 67295 68428 85535 90770 134590 171070 181540 269180 342140 390311 496103 735601 780622 992206 1471202 1561244 1951555 1984412 2480515 2942404 3678005 3903110 4961030 5354491 7356010 7806220 9922060 10708982 14712020 21332429 21417964 26772455 42664858 53544910 85329716 106662145 107089820 155280239 213324290 230243113 310560478 426648580 460486226 621120956 776401195 920972452 1151215565 1552802390 2302431130 3105604780 4604862260 6677050277 13354100554 26708201108 33385251385 66770502770 133541005540