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134000120333142 = 233722744914872339
BaseRepresentation
bin11110011101111101010101…
…100100101000001101010110
3122120110021201210010112202000
4132131331111210220031112
5120030424221301130032
61152554445551100130
740140121620424230
oct3635752544501526
9576407653115660
10134000120333142
113977314a608978
1213042155211646
1359a020729335b
1425138d74a3250
1510759b5dc2e7c
hex79df55928356

134000120333142 has 256 divisors, whose sum is σ = 342955192320000. Its totient is φ = 37990370138112.

The previous prime is 134000120333117. The next prime is 134000120333171. The reversal of 134000120333142 is 241333021000431.

It is a happy number.

134000120333142 is a `hidden beast` number, since 1 + 340 + 0 + 0 + 1 + 2 + 0 + 3 + 3 + 314 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57289490209 + ... + 57289492547.

It is an arithmetic number, because the mean of its divisors is an integer number (1339668720000).

Almost surely, 2134000120333142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134000120333142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171477596160000).

134000120333142 is an abundant number, since it is smaller than the sum of its proper divisors (208955071986858).

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

134000120333142 is a wasteful number, since it uses less digits than its factorization.

134000120333142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4520 (or 4514 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 134000120333142 its reverse (241333021000431), we get a palindrome (375333141333573).

The spelling of 134000120333142 in words is "one hundred thirty-four trillion, one hundred twenty million, three hundred thirty-three thousand, one hundred forty-two".