Search a number
-
+
134072115552 = 2532547851057
BaseRepresentation
bin111110011011101010…
…0100010000101100000
3110211001201100011000100
41330313110202011200
54144034430144202
6141331502422400
712454301115234
oct1746724420540
9424051304010
10134072115552
1151950239891
1221b98591a00
13c84872596b
1466bc2325c4
15374a5d141c
hex1f37522160

134072115552 has 72 divisors (see below), whose sum is σ = 381965043096. Its totient is φ = 44608951296.

The previous prime is 134072115547. The next prime is 134072115557. The reversal of 134072115552 is 255511270431.

134072115552 is a `hidden beast` number, since 1 + 34 + 0 + 72 + 1 + 1 + 5 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (134072115547) and next prime (134072115557).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134072115557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267993 + ... + 583064.

It is an arithmetic number, because the mean of its divisors is an integer number (5305070043).

Almost surely, 2134072115552 is an apocalyptic number.

134072115552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134072115552 is an abundant number, since it is smaller than the sum of its proper divisors (247892927544).

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

134072115552 is a wasteful number, since it uses less digits than its factorization.

134072115552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851620 (or 851609 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

Adding to 134072115552 its reverse (255511270431), we get a palindrome (389583385983).

The spelling of 134072115552 in words is "one hundred thirty-four billion, seventy-two million, one hundred fifteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 547 1094 1641 2188 3282 4376 4923 6564 8752 9846 13128 17504 19692 26256 39384 52512 78768 157536 851057 1702114 2553171 3404228 5106342 6808456 7659513 10212684 13616912 15319026 20425368 27233824 30638052 40850736 61276104 81701472 122552208 245104416 465528179 931056358 1396584537 1862112716 2793169074 3724225432 4189753611 5586338148 7448450864 8379507222 11172676296 14896901728 16759014444 22345352592 33518028888 44690705184 67036057776 134072115552