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136137406002 = 231317677151651
BaseRepresentation
bin111111011001001101…
…0111111011000110010
3111000101122112202220020
41332302122333120302
54212302133443002
6142312441024310
712556416600213
oct1766232773062
9430348482806
10136137406002
11528100200a4
1222474185096
13cab7580010
14683664540a
15381ba8e2bc
hex1fb26bf632

136137406002 has 64 divisors (see below), whose sum is σ = 310927849344. Its totient is φ = 39365913600.

The previous prime is 136137406001. The next prime is 136137406079. The reversal of 136137406002 is 200604731631.

136137406002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (136137406001) 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 31 ways as a sum of consecutive naturals, for example, 821877 + ... + 973527.

It is an arithmetic number, because the mean of its divisors is an integer number (4858247646).

Almost surely, 2136137406002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136137406002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155463924672).

136137406002 is an abundant number, since it is smaller than the sum of its proper divisors (174790443342).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136137406002 is a wasteful number, since it uses less digits than its factorization.

136137406002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152363.

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 136137406002 in words is "one hundred thirty-six billion, one hundred thirty-seven million, four hundred six thousand, two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 677 1326 1354 2031 4062 8801 11509 17602 23018 26403 34527 52806 69054 149617 151651 299234 303302 448851 454953 897702 909906 1971463 2578067 3942926 5156134 5914389 7734201 11828778 15468402 33514871 67029742 100544613 102667727 201089226 205335454 308003181 616006362 1334680451 1745351359 2669360902 3490702718 4004041353 5236054077 8008082706 10472108154 22689567667 45379135334 68068703001 136137406002