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135420510160 = 24513863150883
BaseRepresentation
bin111111000011110110…
…0001111111111010000
3110221112200120200200101
41332013230033333100
54204320122311120
6142113351302144
712532563225655
oct1760754177720
9427480520611
10135420510160
11524823906a1
12222b407a954
13ca01ba63b0
1467a934dc2c
1537c8b8090a
hex1f87b0ffd0

135420510160 has 80 divisors (see below), whose sum is σ = 339467272704. Its totient is φ = 49943149056.

The previous prime is 135420510139. The next prime is 135420510163. The reversal of 135420510160 is 61015024531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135420510163) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 822079 + ... + 972961.

Almost surely, 2135420510160 is an apocalyptic number.

135420510160 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 135420510160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169733636352).

135420510160 is an abundant number, since it is smaller than the sum of its proper divisors (204046762544).

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

135420510160 is a wasteful number, since it uses less digits than its factorization.

135420510160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151772 (or 151766 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 135420510160 its reverse (61015024531), we get a palindrome (196435534691).

The spelling of 135420510160 in words is "one hundred thirty-five billion, four hundred twenty million, five hundred ten thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 863 1040 1726 3452 4315 6904 8630 11219 13808 17260 22438 34520 44876 56095 69040 89752 112190 150883 179504 224380 301766 448760 603532 754415 897520 1207064 1508830 1961479 2414128 3017660 3922958 6035320 7845916 9807395 12070640 15691832 19614790 31383664 39229580 78459160 130212029 156918320 260424058 520848116 651060145 1041696232 1302120290 1692756377 2083392464 2604240580 3385512754 5208481160 6771025508 8463781885 10416962320 13542051016 16927563770 27084102032 33855127540 67710255080 135420510160