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134045251200 = 27325272328909
BaseRepresentation
bin111110011010110111…
…0000011011010000000
3110210222211210022001100
41330311232003122000
54144011041014300
6141325102534400
712453523556430
oct1746556033200
9423884708040
10134045251200
1151937060243
1221b8b597400
13c842caacb3
1466b883c2c0
153748076700
hex1f35b83680

134045251200 has 576 divisors, whose sum is σ = 570419740800. Its totient is φ = 29305774080.

The previous prime is 134045251181. The next prime is 134045251201. The reversal of 134045251200 is 2152540431.

134045251200 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 452 + 5 + 1 + 200 = 666.

134045251200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1340452512002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134045251201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4622346 + ... + 4651254.

It is an arithmetic number, because the mean of its divisors is an integer number (990312050).

Almost surely, 2134045251200 is an apocalyptic number.

134045251200 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 134045251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285209870400).

134045251200 is an abundant number, since it is smaller than the sum of its proper divisors (436374489600).

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

134045251200 is a wasteful number, since it uses less digits than its factorization.

134045251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28969 (or 28949 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 134045251200 its reverse (2152540431), we get a palindrome (136197791631).

The spelling of 134045251200 in words is "one hundred thirty-four billion, forty-five million, two hundred fifty-one thousand, two hundred".