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134395360 = 25511194019
BaseRepresentation
bin10000000001010…
…11010111100000
3100100212222202221
420000223113200
5233401122420
621200320424
73221225131
oct1000532740
9310788687
10134395360
1169954250
1239013114
1321ac72a8
1413bc5c88
15bbeacaa
hex802b5e0

134395360 has 96 divisors (see below), whose sum is σ = 364694400. Its totient is φ = 46287360.

The previous prime is 134395351. The next prime is 134395361. The reversal of 134395360 is 63593431.

It is a super-2 number, since 2×1343953602 = 36124225579059200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134395361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31431 + ... + 35449.

It is an arithmetic number, because the mean of its divisors is an integer number (3798900).

Almost surely, 2134395360 is an apocalyptic number.

134395360 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 134395360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182347200).

134395360 is an abundant number, since it is smaller than the sum of its proper divisors (230299040).

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

134395360 is a wasteful number, since it uses less digits than its factorization.

134395360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4064 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 34.

The square root of 134395360 is about 11592.9012762121. The cubic root of 134395360 is about 512.2257711977.

The spelling of 134395360 in words is "one hundred thirty-four million, three hundred ninety-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 76 80 88 95 110 152 160 176 190 209 220 304 352 380 418 440 608 760 836 880 1045 1520 1672 1760 2090 3040 3344 4019 4180 6688 8038 8360 16076 16720 20095 32152 33440 40190 44209 64304 76361 80380 88418 128608 152722 160760 176836 221045 305444 321520 353672 381805 442090 610888 643040 707344 763610 839971 884180 1221776 1414688 1527220 1679942 1768360 2443552 3054440 3359884 3536720 4199855 6108880 6719768 7073440 8399710 12217760 13439536 16799420 26879072 33598840 67197680 134395360