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134404272 = 243723167
BaseRepresentation
bin10000000001011…
…01100010110000
3100100220110000000
420000231202300
5233401414042
621200430000
73221263122
oct1000554260
9310813000
10134404272
116995aa12
1239018300
1321acb372
1413bc9212
15bbed74c
hex802d8b0

134404272 has 160 divisors (see below), whose sum is σ = 409973760. Its totient is φ = 42596928.

The previous prime is 134404229. The next prime is 134404327. The reversal of 134404272 is 272404431.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 804733 + ... + 804899.

It is an arithmetic number, because the mean of its divisors is an integer number (2562336).

Almost surely, 2134404272 is an apocalyptic number.

134404272 is a gapful number since it is divisible by the number (12) 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 134404272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204986880).

134404272 is an abundant number, since it is smaller than the sum of its proper divisors (275569488).

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

134404272 is an equidigital number, since it uses as much as digits as its factorization.

134404272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 134404272 is about 11593.2856429918. The cubic root of 134404272 is about 512.2370931540.

The spelling of 134404272 in words is "one hundred thirty-four million, four hundred four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 167 184 207 216 243 276 324 334 368 414 432 486 501 552 621 648 668 729 828 972 1002 1104 1242 1296 1336 1458 1503 1656 1863 1944 2004 2187 2484 2672 2916 3006 3312 3726 3841 3888 4008 4374 4509 4968 5589 5832 6012 7452 7682 8016 8748 9018 9936 11178 11523 11664 12024 13527 14904 15364 16767 17496 18036 22356 23046 24048 27054 29808 30728 33534 34569 34992 36072 40581 44712 46092 50301 54108 61456 67068 69138 72144 81162 89424 92184 100602 103707 108216 121743 134136 138276 162324 184368 201204 207414 216432 243486 268272 276552 311121 324648 365229 402408 414828 486972 553104 622242 649296 730458 804816 829656 933363 973944 1244484 1460916 1659312 1866726 1947888 2488968 2800089 2921832 3733452 4977936 5600178 5843664 7466904 8400267 11200356 14933808 16800534 22400712 33601068 44801424 67202136 134404272