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135126005504535 = 3257341134248251
BaseRepresentation
bin11110101110010101111001…
…100011101101101000010111
3122201102220211122201021011100
4132232111321203231220113
5120202401024402121120
61155220010245441143
740314350245451613
oct3656257143555027
9581386748637140
10135126005504535
113a06768741a2a1
12131a43a9a101b3
135a52434aa8b96
1425521c26d0343
151094e0e0e4490
hex7ae5798eda17

135126005504535 has 24 divisors (see below), whose sum is σ = 237426880910544. Its totient is φ = 71079980976000.

The previous prime is 135126005504521. The next prime is 135126005504537. The reversal of 135126005504535 is 535405500621531.

135126005504535 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 2 + 60 + 0 + 5 + 50 + 4 + 535 = 666.

It is not a de Polignac number, because 135126005504535 - 215 = 135126005471767 is a prime.

It is a super-2 number, since 2×1351260055045352 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135126005504537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20567120841 + ... + 20567127410.

It is an arithmetic number, because the mean of its divisors is an integer number (9892786704606).

Almost surely, 2135126005504535 is an apocalyptic number.

135126005504535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135126005504535 is a deficient number, since it is larger than the sum of its proper divisors (102300875406009).

135126005504535 is a wasteful number, since it uses less digits than its factorization.

135126005504535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41134248335 (or 41134248332 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 45.

The spelling of 135126005504535 in words is "one hundred thirty-five trillion, one hundred twenty-six billion, five million, five hundred four thousand, five hundred thirty-five".

Divisors: 1 3 5 9 15 45 73 219 365 657 1095 3285 41134248251 123402744753 205671241255 370208234259 617013723765 1851041171295 3002800122323 9008400366969 15014000611615 27025201100907 45042001834845 135126005504535