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134578875431 = 7113132394649
BaseRepresentation
bin111110101010110000…
…1101010110000100111
3110212101000220012212202
41331111201222300213
54201104143003211
6141454044205115
712502663365260
oct1752541526047
9425330805782
10134578875431
11520902a3000
12220ba23979b
13c8c9706890
146729667967
153779d3253b
hex1f5586ac27

134578875431 has 64 divisors (see below), whose sum is σ = 182988288000. Its totient is φ = 96374234880.

The previous prime is 134578875383. The next prime is 134578875479.

134578875431 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (134578875383) and next prime (134578875479).

It is not a de Polignac number, because 134578875431 - 26 = 134578875367 is a prime.

It is a super-2 number, since 2×1345788754312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134578875631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28945595 + ... + 28950243.

It is an arithmetic number, because the mean of its divisors is an integer number (2859192000).

Almost surely, 2134578875431 is an apocalyptic number.

134578875431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134578875431 is a deficient number, since it is larger than the sum of its proper divisors (48409412569).

134578875431 is a wasteful number, since it uses less digits than its factorization.

134578875431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4941 (or 4919 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 56.

It can be divided in two parts, 13457 and 8875431, that added together give a palindrome (8888888).

The spelling of 134578875431 in words is "one hundred thirty-four billion, five hundred seventy-eight million, eight hundred seventy-five thousand, four hundred thirty-one".

Divisors: 1 7 11 13 77 91 121 143 239 847 1001 1331 1573 1673 2629 3107 4649 9317 11011 17303 18403 21749 28919 32543 34177 51139 60437 121121 202433 239239 318109 357973 375947 423059 562529 664807 1111111 2226763 2631629 3937703 4135417 4653649 6187819 7312877 7777777 12222221 14444443 28947919 43314733 51190139 80441647 85555547 101111101 134444431 158888873 563091529 941111017 1112222111 1478888741 1747777603 10352221187 12234443221 19225553633 134578875431