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134307637254 = 232737158318199
BaseRepresentation
bin111110100010101011…
…0111110100000000110
3110211200010111220001100
41331011112332200012
54200030223343004
6141411114440530
712463161036360
oct1750526764006
9424603456040
10134307637254
1151a6118381a
1222043433146
13c88546930b
14670161dd30
153761105739
hex1f455be806

134307637254 has 96 divisors (see below), whose sum is σ = 341794252800. Its totient is φ = 37310849856.

The previous prime is 134307637223. The next prime is 134307637279. The reversal of 134307637254 is 452736703431.

134307637254 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 0 + 7 + 637 + 2 + 5 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7370847 + ... + 7389045.

It is an arithmetic number, because the mean of its divisors is an integer number (3560356800).

Almost surely, 2134307637254 is an apocalyptic number.

134307637254 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134307637254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170897126400).

134307637254 is an abundant number, since it is smaller than the sum of its proper divisors (207486615546).

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

134307637254 is a wasteful number, since it uses less digits than its factorization.

134307637254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19834 (or 19831 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 134307637254 in words is "one hundred thirty-four billion, three hundred seven million, six hundred thirty-seven thousand, two hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 1554 1583 2331 3166 4662 4749 9498 11081 14247 18199 22162 28494 33243 36398 54597 58571 66486 99729 109194 117142 127393 163791 175713 199458 254786 327582 351426 382179 409997 527139 673363 764358 819994 1054278 1146537 1229991 1346726 2020089 2293074 2459982 3689973 4040178 4713541 6060267 7379946 9427082 12120534 14140623 28281246 28809017 42421869 57618034 84843738 86427051 172854102 201663119 259281153 403326238 518562306 604989357 1065933629 1209978714 1814968071 2131867258 3197800887 3629936142 6395601774 7461535403 9593402661 14923070806 19186805322 22384606209 44769212418 67153818627 134307637254