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136135166431 = 11251316915559
BaseRepresentation
bin111111011001001001…
…0011100100111011111
3111000101111022222210011
41332302102130213133
54212301100311211
6142312321024051
712556361551645
oct1766222344737
9430344288704
10136135166431
1152809830510
1222473485027
13cab6c77824
146836221195
15381b79a921
hex1fb249c9df

136135166431 has 16 divisors (see below), whose sum is σ = 149159404800. Its totient is φ = 123219360000.

The previous prime is 136135166413. The next prime is 136135166437. The reversal of 136135166431 is 134661531631.

It is not a de Polignac number, because 136135166431 - 25 = 136135166399 is a prime.

It is a super-2 number, since 2×1361351664312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136135166437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8741830 + ... + 8757388.

It is an arithmetic number, because the mean of its divisors is an integer number (9322462800).

Almost surely, 2136135166431 is an apocalyptic number.

136135166431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

136135166431 is a deficient number, since it is larger than the sum of its proper divisors (13024238369).

136135166431 is a wasteful number, since it uses less digits than its factorization.

136135166431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18990.

The product of its digits is 116640, while the sum is 40.

The spelling of 136135166431 in words is "one hundred thirty-six billion, one hundred thirty-five million, one hundred sixty-six thousand, four hundred thirty-one".

Divisors: 1 11 251 2761 3169 15559 34859 171149 795419 3905309 8749609 42958399 49306471 542371181 12375924221 136135166431