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135876678531 = 31137111283111
BaseRepresentation
bin111111010001011100…
…0011001001110000011
3110222201110221110001020
41332202320121032003
54211233412203111
6142230524440523
712550102465626
oct1764270311603
9428643843036
10135876678531
115269692a750
12224009a9143
13ca755528c9
14680db75dbd
153803c3b906
hex1fa2e19383

135876678531 has 16 divisors (see below), whose sum is σ = 202980396288. Its totient is φ = 80123839200.

The previous prime is 135876678521. The next prime is 135876678541.

It is a happy number.

135876678531 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (135876678521) and next prime (135876678541).

It is not a de Polignac number, because 135876678531 - 26 = 135876678467 is a prime.

It is a super-2 number, since 2×1358766785312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135876678521) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 55640335 + ... + 55642776.

It is an arithmetic number, because the mean of its divisors is an integer number (12686274768).

Almost surely, 2135876678531 is an apocalyptic number.

135876678531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135876678531 is a deficient number, since it is larger than the sum of its proper divisors (67103717757).

135876678531 is a wasteful number, since it uses less digits than its factorization.

135876678531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111283162.

The product of its digits is 25401600, while the sum is 60.

The spelling of 135876678531 in words is "one hundred thirty-five billion, eight hundred seventy-six million, six hundred seventy-eight thousand, five hundred thirty-one".

Divisors: 1 3 11 33 37 111 407 1221 111283111 333849333 1224114221 3672342663 4117475107 12352425321 45292226177 135876678531