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134625610514560 = 27511317711271031
BaseRepresentation
bin11110100111000011110111…
…101100010100000010000000
3122122200002020021020222112111
4132213003313230110002000
5120121201222242431220
61154154052432305104
740233244062305044
oct3647036754240200
9578602207228474
10134625610514560
11399944454a9000
12131234186a2194
135a171a9b82039
142535cb2c4c024
151086dc398c15a
hex7a70f7b14080

134625610514560 has 1024 divisors, whose sum is σ = 383466276126720. Its totient is φ = 45024731136000.

The previous prime is 134625610514537. The next prime is 134625610514567. The reversal of 134625610514560 is 65415016526431.

It is not an unprimeable number, because it can be changed into a prime (134625610514567) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130577701245 + ... + 130577702275.

It is an arithmetic number, because the mean of its divisors is an integer number (374478785280).

Almost surely, 2134625610514560 is an apocalyptic number.

134625610514560 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 134625610514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191733138063360).

134625610514560 is an abundant number, since it is smaller than the sum of its proper divisors (248840665612160).

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

134625610514560 is a wasteful number, since it uses less digits than its factorization.

134625610514560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 49.

The spelling of 134625610514560 in words is "one hundred thirty-four trillion, six hundred twenty-five billion, six hundred ten million, five hundred fourteen thousand, five hundred sixty".