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134115101200 = 24521719722809
BaseRepresentation
bin111110011100111100…
…0100000101000010000
3110211011201020001020101
41330321320200220100
54144131431214300
6141340040022144
712455332356643
oct1747170405020
9424151201211
10134115101200
1151972529613
1221baaa61954
13c8545c6462
1466c3c21a5a
15374e272b6a
hex1f39e20a10

134115101200 has 60 divisors (see below), whose sum is σ = 341165167380. Its totient is φ = 50490388480.

The previous prime is 134115101167. The next prime is 134115101201. The reversal of 134115101200 is 2101511431.

It can be written as a sum of positive squares in 6 ways, for example, as 9373337856 + 124741763344 = 96816^2 + 353188^2 .

It is not an unprimeable number, because it can be changed into a prime (134115101201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9854605 + ... + 9868204.

It is an arithmetic number, because the mean of its divisors is an integer number (5686086123).

Almost surely, 2134115101200 is an apocalyptic number.

134115101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134115101200 is an abundant number, since it is smaller than the sum of its proper divisors (207050066180).

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

134115101200 is a wasteful number, since it uses less digits than its factorization.

134115101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19722844 (or 19722833 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 134115101200 its reverse (2101511431), we get a palindrome (136216612631).

The spelling of 134115101200 in words is "one hundred thirty-four billion, one hundred fifteen million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800 19722809 39445618 78891236 98614045 157782472 197228090 315564944 335287753 394456180 493070225 670575506 788912360 986140450 1341151012 1577824720 1676438765 1972280900 2682302024 3352877530 3944561800 5364604048 6705755060 7889123600 8382193825 13411510120 16764387650 26823020240 33528775300 67057550600 134115101200