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134315224120 = 235711617110069
BaseRepresentation
bin111110100010111001…
…1111010110000111000
3110211200122210100021101
41331011303322300320
54200034144132440
6141411545221144
712463312365460
oct1750563726070
9424618710241
10134315224120
1151a65495960
1222045a917b4
13c886bc469c
146702636ba0
153761b0369a
hex1f45cfac38

134315224120 has 256 divisors, whose sum is σ = 388389427200. Its totient is φ = 40594176000.

The previous prime is 134315224103. The next prime is 134315224123. The reversal of 134315224120 is 21422513431.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134315224123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13334446 + ... + 13344514.

It is an arithmetic number, because the mean of its divisors is an integer number (1517146200).

Almost surely, 2134315224120 is an apocalyptic number.

134315224120 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 134315224120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194194713600).

134315224120 is an abundant number, since it is smaller than the sum of its proper divisors (254074203080).

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

134315224120 is a wasteful number, since it uses less digits than its factorization.

134315224120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10230 (or 10226 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 134315224120 its reverse (21422513431), we get a palindrome (155737737551).

The spelling of 134315224120 in words is "one hundred thirty-four billion, three hundred fifteen million, two hundred twenty-four thousand, one hundred twenty".