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135141523457 = 2919723655089
BaseRepresentation
bin111110111011100010…
…0000000000000000001
3110220211020121200212112
41331313010000000001
54203232212222312
6142025543505105
712522634665443
oct1756704000001
9426736550775
10135141523457
1152349959876
1222236758195
13c989154cc5
14678028a493
1537ae422d22
hex1f77100001

135141523457 has 8 divisors (see below), whose sum is σ = 140511234600. Its totient is φ = 129819122944.

The previous prime is 135141523403. The next prime is 135141523487. The reversal of 135141523457 is 754325141531.

It is a Cunningham number, because it is equal to 3676162+1.

It can be written as a sum of positive squares in 4 ways, for example, as 70864569616 + 64276953841 = 266204^2 + 253529^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 135141523457 - 216 = 135141457921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135141523487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11821832 + ... + 11833257.

It is an arithmetic number, because the mean of its divisors is an integer number (17563904325).

It is a Proth number, since it is equal to 128881 ⋅ 220 + 1 and 128881 < 220.

Almost surely, 2135141523457 is an apocalyptic number.

It is an amenable number.

135141523457 is a deficient number, since it is larger than the sum of its proper divisors (5369711143).

135141523457 is a wasteful number, since it uses less digits than its factorization.

135141523457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23655315.

The product of its digits is 252000, while the sum is 41.

Adding to 135141523457 its reverse (754325141531), we get a palindrome (889466664988).

The spelling of 135141523457 in words is "one hundred thirty-five billion, one hundred forty-one million, five hundred twenty-three thousand, four hundred fifty-seven".

Divisors: 1 29 197 5713 23655089 685997581 4660052533 135141523457