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134557007136 = 25319612295281
BaseRepresentation
bin111110101010000111…
…0001111110100100000
3110212022111202012012220
41331110032033310200
54201033043212021
6141451543351040
712502306455306
oct1752416176440
9425274665186
10134557007136
1152079a17032
12220b2a52480
13c8c501ac66
1467267b4276
153777e62cc6
hex1f5438fd20

134557007136 has 192 divisors, whose sum is σ = 379619452800. Its totient is φ = 41604710400.

The previous prime is 134557007119. The next prime is 134557007141. The reversal of 134557007136 is 631700755431.

It is a super-3 number, since 3×1345570071363 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25476816 + ... + 25482096.

It is an arithmetic number, because the mean of its divisors is an integer number (1977184650).

Almost surely, 2134557007136 is an apocalyptic number.

134557007136 is a gapful number since it is divisible by the number (16) 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 134557007136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189809726400).

134557007136 is an abundant number, since it is smaller than the sum of its proper divisors (245062445664).

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

134557007136 is a wasteful number, since it uses less digits than its factorization.

134557007136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5603 (or 5595 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The spelling of 134557007136 in words is "one hundred thirty-four billion, five hundred fifty-seven million, seven thousand, one hundred thirty-six".