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137555508135 = 3580557113837
BaseRepresentation
bin1000000000011011110…
…0100111101110100111
3111011001110221211022110
42000012330213232213
54223203202230020
6143105255532103
712636516345603
oct2000674475647
9434043854273
10137555508135
1153378553231
12227ab08a033
13cc822c90c6
14692cb0a503
1538a130c8e0
hex2006f27ba7

137555508135 has 16 divisors (see below), whose sum is σ = 220093478496. Its totient is φ = 73361382528.

The previous prime is 137555508127. The next prime is 137555508193. The reversal of 137555508135 is 531805555731.

137555508135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137555508135 - 23 = 137555508127 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 1151437 + ... + 1265273.

It is an arithmetic number, because the mean of its divisors is an integer number (13755842406).

Almost surely, 2137555508135 is an apocalyptic number.

137555508135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137555508135 is a deficient number, since it is larger than the sum of its proper divisors (82537970361).

137555508135 is a wasteful number, since it uses less digits than its factorization.

137555508135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194402.

The product of its (nonzero) digits is 1575000, while the sum is 48.

The spelling of 137555508135 in words is "one hundred thirty-seven billion, five hundred fifty-five million, five hundred eight thousand, one hundred thirty-five".

Divisors: 1 3 5 15 80557 113837 241671 341511 402785 569185 1208355 1707555 9170367209 27511101627 45851836045 137555508135