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135433144220 = 2251141471013163
BaseRepresentation
bin111111000100001110…
…0011100011110011100
3110221120120100120100112
41332020130130132130
54204331341103340
6142114522145152
712533105505653
oct1761034343634
9427516316315
10135433144220
115248952a870
12222b83521b8
13ca046aab7a
1467aacbc19a
1537c9d29065
hex1f8871c79c

135433144220 has 192 divisors, whose sum is σ = 327912302592. Its totient is φ = 46544640000.

The previous prime is 135433144177. The next prime is 135433144229. The reversal of 135433144220 is 22441334531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135433144229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42816359 + ... + 42819521.

It is an arithmetic number, because the mean of its divisors is an integer number (1707876576).

Almost surely, 2135433144220 is an apocalyptic number.

135433144220 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 135433144220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163956151296).

135433144220 is an abundant number, since it is smaller than the sum of its proper divisors (192479158372).

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

135433144220 is a wasteful number, since it uses less digits than its factorization.

135433144220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 135433144220 its reverse (22441334531), we get a palindrome (157874478751).

The spelling of 135433144220 in words is "one hundred thirty-five billion, four hundred thirty-three million, one hundred forty-four thousand, two hundred twenty".