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134441640 = 23335281443
BaseRepresentation
bin10000000001101…
…10101010101000
3100100222100021000
420000312222220
5233404113030
621201315000
73221510064
oct1000665250
9310870230
10134441640
1169985aa3
1239035a60
1321b12388
1413bd8aa4
15bc09860
hex8036aa8

134441640 has 128 divisors (see below), whose sum is σ = 450748800. Its totient is φ = 35642880.

The previous prime is 134441639. The next prime is 134441641. The reversal of 134441640 is 46144431.

134441640 is a `hidden beast` number, since 13 + 4 + 4 + 4 + 1 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (134441639) and next prime (134441641).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (134441641) 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, 303259 + ... + 303701.

It is an arithmetic number, because the mean of its divisors is an integer number (3521475).

Almost surely, 2134441640 is an apocalyptic number.

134441640 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 134441640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225374400).

134441640 is an abundant number, since it is smaller than the sum of its proper divisors (316307160).

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

134441640 is a wasteful number, since it uses less digits than its factorization.

134441640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 134441640 is about 11594.8971534895. The cubic root of 134441640 is about 512.2845606482.

The spelling of 134441640 in words is "one hundred thirty-four million, four hundred forty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 281 360 443 540 562 843 886 1080 1124 1329 1405 1686 1772 2215 2248 2529 2658 2810 3372 3544 3987 4215 4430 5058 5316 5620 6645 6744 7587 7974 8430 8860 10116 10632 11240 11961 12645 13290 15174 15948 16860 17720 19935 20232 23922 25290 26580 30348 31896 33720 37935 39870 47844 50580 53160 59805 60696 75870 79740 95688 101160 119610 124483 151740 159480 239220 248966 303480 373449 478440 497932 622415 746898 995864 1120347 1244830 1493796 1867245 2240694 2489660 2987592 3361041 3734490 4481388 4979320 5601735 6722082 7468980 8962776 11203470 13444164 14937960 16805205 22406940 26888328 33610410 44813880 67220820 134441640