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134391140 = 225134011289
BaseRepresentation
bin10000000001010…
…10010101100100
3100100212202222122
420000222111210
5233401004030
621200245112
73221206622
oct1000522544
9310782878
10134391140
1169951064
1239010798
1321ac53b0
1413bc4512
15bbe98e5
hex802a564

134391140 has 48 divisors (see below), whose sum is σ = 304925040. Its totient is φ = 49459200.

The previous prime is 134391121. The next prime is 134391149. The reversal of 134391140 is 41193431.

It can be written as a sum of positive squares in 8 ways, for example, as 7873636 + 126517504 = 2806^2 + 11248^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (134391149) 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, 103616 + ... + 104904.

It is an arithmetic number, because the mean of its divisors is an integer number (6352605).

Almost surely, 2134391140 is an apocalyptic number.

134391140 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 134391140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152462520).

134391140 is an abundant number, since it is smaller than the sum of its proper divisors (170533900).

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

134391140 is a wasteful number, since it uses less digits than its factorization.

134391140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 134391140 is about 11592.7192668502. The cubic root of 134391140 is about 512.2204098633.

The spelling of 134391140 in words is "one hundred thirty-four million, three hundred ninety-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 401 802 1289 1604 2005 2578 4010 5156 5213 6445 8020 10426 12890 16757 20852 25780 26065 33514 52130 67028 83785 104260 167570 335140 516889 1033778 2067556 2584445 5168890 6719557 10337780 13439114 26878228 33597785 67195570 134391140