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136074714150 = 235217155334361
BaseRepresentation
bin111111010111010101…
…1110101110000100110
3111000020021120200211210
41332232223311300212
54212140111323100
6142302321212250
712555025662144
oct1765653656046
9430207520753
10136074714150
11527886a0851
1222457191086
13caa759ca4b
14682c1a6594
153816308c50
hex1faeaf5c26

136074714150 has 96 divisors (see below), whose sum is σ = 357556677408. Its totient is φ = 34129100800.

The previous prime is 136074714143. The next prime is 136074714169. The reversal of 136074714150 is 51417470631.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 136074714099 and 136074714108.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3942970 + ... + 3977330.

It is an arithmetic number, because the mean of its divisors is an integer number (3724548723).

Almost surely, 2136074714150 is an apocalyptic number.

136074714150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136074714150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178778338704).

136074714150 is an abundant number, since it is smaller than the sum of its proper divisors (221481963258).

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

136074714150 is a wasteful number, since it uses less digits than its factorization.

136074714150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35946 (or 35941 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 136074714150 in words is "one hundred thirty-six billion, seventy-four million, seven hundred fourteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 170 255 425 510 850 1275 1553 2550 3106 4659 7765 9318 15530 23295 26401 34361 38825 46590 52802 68722 77650 79203 103083 116475 132005 158406 171805 206166 232950 264010 343610 396015 515415 584137 660025 792030 859025 1030830 1168274 1320050 1718050 1752411 1980075 2577075 2920685 3504822 3960150 5154150 5841370 8762055 14603425 17524110 29206850 43810275 53362633 87620550 106725266 160087899 266813165 320175798 533626330 800439495 907164761 1334065825 1600878990 1814329522 2668131650 2721494283 4002197475 4535823805 5442988566 8004394950 9071647610 13607471415 22679119025 27214942830 45358238050 68037357075 136074714150