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134159513600 = 2115273767151
BaseRepresentation
bin111110011110010000…
…1111011100000000000
3110211021210210102121002
41330330201323200000
54144224313413400
6141344303551132
712456412023110
oct1747441734000
9424253712532
10134159513600
1151995603282
12220018bb4a8
13c860876498
1466c9aa3040
1537530e6ed5
hex1f3c87b800

134159513600 has 576 divisors, whose sum is σ = 398879470080. Its totient is φ = 43794432000.

The previous prime is 134159513591. The next prime is 134159513681. The reversal of 134159513600 is 6315951431.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 888473525 + ... + 888473675.

It is an arithmetic number, because the mean of its divisors is an integer number (692499080).

Almost surely, 2134159513600 is an apocalyptic number.

134159513600 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 134159513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199439735040).

134159513600 is an abundant number, since it is smaller than the sum of its proper divisors (264719956480).

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

134159513600 is a wasteful number, since it uses less digits than its factorization.

134159513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 38.

The spelling of 134159513600 in words is "one hundred thirty-four billion, one hundred fifty-nine million, five hundred thirteen thousand, six hundred".