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135190080 = 2633515647
BaseRepresentation
bin10000000111011…
…01011001000000
3100102101100221000
420003231121000
5234102040310
621225332000
73231045114
oct1003553100
9312340830
10135190080
116a347343
1239337000
1322014c3c
1413d51744
15bd064c0
hex80ed640

135190080 has 112 divisors (see below), whose sum is σ = 476951040. Its totient is φ = 36048384.

The previous prime is 135190057. The next prime is 135190129. The reversal of 135190080 is 80091531.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 817 + ... + 16463.

Almost surely, 2135190080 is an apocalyptic number.

135190080 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 135190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238475520).

135190080 is an abundant number, since it is smaller than the sum of its proper divisors (341760960).

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

135190080 is a wasteful number, since it uses less digits than its factorization.

135190080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15673 (or 15657 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 135190080 is about 11627.1269022059. The cubic root of 135190080 is about 513.2334357058.

The spelling of 135190080 in words is "one hundred thirty-five million, one hundred ninety thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 15647 31294 46941 62588 78235 93882 125176 140823 156470 187764 234705 250352 281646 312940 375528 422469 469410 500704 563292 625880 704115 751056 844938 938820 1001408 1126584 1251760 1408230 1502112 1689876 1877640 2112345 2253168 2503520 2816460 3004224 3379752 3755280 4224690 4506336 5007040 5632920 6759504 7510560 8449380 9012672 11265840 13519008 15021120 16898760 22531680 27038016 33797520 45063360 67595040 135190080