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134574840 = 233252316253
BaseRepresentation
bin10000000010101…
…11001011111000
3100101020002222100
420001113023320
5233422343330
621204223400
73222603321
oct1001271370
9311202870
10134574840
1169a67084
123909ab60
1321b5abaa
1413c31448
15bc34060
hex80572f8

134574840 has 96 divisors (see below), whose sum is σ = 456412320. Its totient is φ = 34324224.

The previous prime is 134574763. The next prime is 134574871. The reversal of 134574840 is 48475431.

134574840 is a `hidden beast` number, since 1 + 3 + 4 + 574 + 84 + 0 = 666.

It is a super-2 number, since 2×1345748402 = 36220775122051200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 134574795 and 134574804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154 + ... + 16406.

It is an arithmetic number, because the mean of its divisors is an integer number (4754295).

Almost surely, 2134574840 is an apocalyptic number.

134574840 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 134574840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228206160).

134574840 is an abundant number, since it is smaller than the sum of its proper divisors (321837480).

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

134574840 is a wasteful number, since it uses less digits than its factorization.

134574840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16293 (or 16286 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 134574840 is about 11600.6396375372. The cubic root of 134574840 is about 512.4536892518.

The spelling of 134574840 in words is "one hundred thirty-four million, five hundred seventy-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 16253 32506 48759 65012 81265 97518 130024 146277 162530 195036 243795 292554 325060 373819 390072 487590 585108 650120 731385 747638 975180 1121457 1170216 1462770 1495276 1869095 1950360 2242914 2925540 2990552 3364371 3738190 4485828 5607285 5851080 6728742 7476380 8971656 11214570 13457484 14952760 16821855 22429140 26914968 33643710 44858280 67287420 134574840