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134848140 = 223573110357
BaseRepresentation
bin10000000100110…
…01111010001100
3100101201222212120
420002121322030
5234010120030
621214132540
73225122160
oct1002317214
9311658776
10134848140
116a133449
12391b1150
1321c253cb
1413ca2ca0
15bc8a010
hex8099e8c

134848140 has 96 divisors (see below), whose sum is σ = 445476864. Its totient is φ = 29825280.

The previous prime is 134848127. The next prime is 134848159. The reversal of 134848140 is 41848431.

It is a super-2 number, since 2×1348481402 = 36368041722919200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7842 + ... + 18198.

It is an arithmetic number, because the mean of its divisors is an integer number (4640384).

Almost surely, 2134848140 is an apocalyptic number.

134848140 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 134848140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222738432).

134848140 is an abundant number, since it is smaller than the sum of its proper divisors (310628724).

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

134848140 is a wasteful number, since it uses less digits than its factorization.

134848140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10407 (or 10405 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 134848140 is about 11612.4131858972. The cubic root of 134848140 is about 512.8003585383.

The spelling of 134848140 in words is "one hundred thirty-four million, eight hundred forty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1085 1302 1860 2170 2604 3255 4340 6510 10357 13020 20714 31071 41428 51785 62142 72499 103570 124284 144998 155355 207140 217497 289996 310710 321067 362495 434994 621420 642134 724990 869988 963201 1087485 1284268 1449980 1605335 1926402 2174970 2247469 3210670 3852804 4349940 4494938 4816005 6421340 6742407 8989876 9632010 11237345 13484814 19264020 22474690 26969628 33712035 44949380 67424070 134848140