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136541519250 = 23531929330409
BaseRepresentation
bin111111100101010000…
…0100011110110010010
3111001102210221212001120
41333022200203312102
54214114112104000
6142420514343110
712602424523023
oct1771240436622
9431383855046
10136541519250
11529a8145394
122256758aa96
13cb50201896
14687419ac4a
1538422b66a0
hex1fca823d92

136541519250 has 128 divisors (see below), whose sum is σ = 371116512000. Its totient is φ = 33305126400.

The previous prime is 136541519161. The next prime is 136541519251. The reversal of 136541519250 is 52915145631.

It is not an unprimeable number, because it can be changed into a prime (136541519251) 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 63 ways as a sum of consecutive naturals, for example, 248046 + ... + 578454.

It is an arithmetic number, because the mean of its divisors is an integer number (2899347750).

Almost surely, 2136541519250 is an apocalyptic number.

136541519250 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 136541519250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185558256000).

136541519250 is an abundant number, since it is smaller than the sum of its proper divisors (234574992750).

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

136541519250 is a wasteful number, since it uses less digits than its factorization.

136541519250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330477 (or 330467 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 136541519250 in words is "one hundred thirty-six billion, five hundred forty-one million, five hundred nineteen thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 29 30 38 50 57 58 75 87 95 114 125 145 150 174 190 250 285 290 375 435 475 551 570 725 750 870 950 1102 1425 1450 1653 2175 2375 2755 2850 3306 3625 4350 4750 5510 7125 7250 8265 10875 13775 14250 16530 21750 27550 41325 68875 82650 137750 206625 330409 413250 660818 991227 1652045 1982454 3304090 4956135 6277771 8260225 9581861 9912270 12555542 16520450 18833313 19163722 24780675 28745583 31388855 37666626 41301125 47909305 49561350 57491166 62777710 82602250 94166565 95818610 123903375 143727915 156944275 182055359 188333130 239546525 247806750 287455830 313888550 364110718 470832825 479093050 546166077 718639575 784721375 910276795 941665650 1092332154 1197732625 1437279150 1569442750 1820553590 2354164125 2395465250 2730830385 3593197875 4551383975 4708328250 5461660770 7186395750 9102767950 13654151925 22756919875 27308303850 45513839750 68270759625 136541519250