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135236381820 = 223567113297707
BaseRepresentation
bin111110111110010110…
…1110110110001111100
3110221001212010000002020
41331330231312301330
54203431003204240
6142043213000140
712525166164441
oct1757455666174
9427055100066
10135236381820
1152398459311
1222262483050
13c9a29b8407
14678cadd9c8
1537b790e0d0
hex1f7cb76c7c

135236381820 has 96 divisors (see below), whose sum is σ = 387715845888. Its totient is φ = 35210284032.

The previous prime is 135236381783. The next prime is 135236381821. The reversal of 135236381820 is 28183632531.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135236381821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305407 + ... + 603113.

It is an arithmetic number, because the mean of its divisors is an integer number (4038706728).

Almost surely, 2135236381820 is an apocalyptic number.

135236381820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135236381820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193857922944).

135236381820 is an abundant number, since it is smaller than the sum of its proper divisors (252479464068).

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

135236381820 is a wasteful number, since it uses less digits than its factorization.

135236381820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297899 (or 297897 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 135236381820 in words is "one hundred thirty-five billion, two hundred thirty-six million, three hundred eighty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 113 134 201 226 268 335 339 402 452 565 670 678 804 1005 1130 1340 1356 1695 2010 2260 3390 4020 6780 7571 15142 22713 30284 37855 45426 75710 90852 113565 151420 227130 297707 454260 595414 893121 1190828 1488535 1786242 2977070 3572484 4465605 5954140 8931210 17862420 19946369 33640891 39892738 59839107 67281782 79785476 99731845 100922673 119678214 134563564 168204455 199463690 201845346 239356428 299195535 336408910 398927380 403690692 504613365 598391070 672817820 1009226730 1196782140 2018453460 2253939697 4507879394 6761819091 9015758788 11269698485 13523638182 22539396970 27047276364 33809095455 45078793940 67618190910 135236381820