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135354133020 = 223546317092851
BaseRepresentation
bin111111000001110111…
…1000010101000011100
3110221101001200101100210
41332003233002220130
54204201124224040
6142103020452420
712531126101421
oct1760357025034
9427331611323
10135354133020
1152448974557
12222959aa110
13c9c1205892
1467a05d1d48
1537c2e1d480
hex1f83bc2a1c

135354133020 has 96 divisors (see below), whose sum is σ = 380165667840. Its totient is φ = 35982777600.

The previous prime is 135354132989. The next prime is 135354133027. The reversal of 135354133020 is 20331453531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135354133027) 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 31 ways as a sum of consecutive naturals, for example, 47474595 + ... + 47477445.

It is an arithmetic number, because the mean of its divisors is an integer number (3960059040).

Almost surely, 2135354133020 is an apocalyptic number.

135354133020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135354133020 is an abundant number, since it is smaller than the sum of its proper divisors (244811534820).

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

135354133020 is a wasteful number, since it uses less digits than its factorization.

135354133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5035 (or 5033 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 135354133020 its reverse (20331453531), we get a palindrome (155685586551).

The spelling of 135354133020 in words is "one hundred thirty-five billion, three hundred fifty-four million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 463 926 1389 1709 1852 2315 2778 2851 3418 4630 5127 5556 5702 6836 6945 8545 8553 9260 10254 11404 13890 14255 17090 17106 20508 25635 27780 28510 34180 34212 42765 51270 57020 85530 102540 171060 791267 1320013 1582534 2373801 2640026 3165068 3956335 3960039 4747602 4872359 5280052 6600065 7912670 7920078 9495204 9744718 11869005 13200130 14617077 15825340 15840156 19489436 19800195 23738010 24361795 26400260 29234154 39600390 47476020 48723590 58468308 73085385 79200780 97447180 146170770 292341540 2255902217 4511804434 6767706651 9023608868 11279511085 13535413302 22559022170 27070826604 33838533255 45118044340 67677066510 135354133020