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135429300860 = 225719197258443
BaseRepresentation
bin111111000100000110…
…1110010001001111100
3110221120022010022020212
41332020031302021330
54204324400111420
6142114303531552
712533031030560
oct1761015621174
9427508108225
10135429300860
1152487345237
12222b6bb9bb8
13ca039636a9
1467aa59b6a0
1537c981a3c5
hex1f8837227c

135429300860 has 96 divisors (see below), whose sum is σ = 343875248640. Its totient is φ = 43765602048.

The previous prime is 135429300859. The next prime is 135429300887. The reversal of 135429300860 is 68003924531.

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 31 ways as a sum of consecutive naturals, for example, 394799 + ... + 653241.

It is an arithmetic number, because the mean of its divisors is an integer number (3582033840).

Almost surely, 2135429300860 is an apocalyptic number.

135429300860 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 135429300860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171937624320).

135429300860 is an abundant number, since it is smaller than the sum of its proper divisors (208445947780).

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

135429300860 is a wasteful number, since it uses less digits than its factorization.

135429300860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258675 (or 258673 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The spelling of 135429300860 in words is "one hundred thirty-five billion, four hundred twenty-nine million, three hundred thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 197 266 380 394 532 665 788 985 1330 1379 1970 2660 2758 3743 3940 5516 6895 7486 13790 14972 18715 26201 27580 37430 52402 74860 104804 131005 258443 262010 516886 524020 1033772 1292215 1809101 2584430 3618202 4910417 5168860 7236404 9045505 9820834 18091010 19641668 24552085 34372919 36182020 49104170 50913271 68745838 98208340 101826542 137491676 171864595 203653084 254566355 343729190 356392897 509132710 687458380 712785794 967352149 1018265420 1425571588 1781964485 1934704298 3563928970 3869408596 4836760745 6771465043 7127857940 9673521490 13542930086 19347042980 27085860172 33857325215 67714650430 135429300860