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135122345000 = 2354101267569
BaseRepresentation
bin111110111010111101…
…0110101110000101000
3110220202220112022222022
41331311322311300220
54203212310020000
6142024020444012
712522312660536
oct1756572656050
9426686468868
10135122345000
115233a04a805
1222230249608
13c98519b7c6
14677b8d7156
1537ac8d5585
hex1f75eb5c28

135122345000 has 80 divisors (see below), whose sum is σ = 319727420100. Its totient is φ = 53513600000.

The previous prime is 135122344999. The next prime is 135122345047. The reversal of 135122345000 is 543221531.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 4508048164 + 130614296836 = 67142^2 + 361406^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 371216 + ... + 638784.

Almost surely, 2135122345000 is an apocalyptic number.

135122345000 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 135122345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159863710050).

135122345000 is an abundant number, since it is smaller than the sum of its proper divisors (184605075100).

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

135122345000 is a wasteful number, since it uses less digits than its factorization.

135122345000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267696 (or 267677 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 135122345000 its reverse (543221531), we get a palindrome (135665566531).

The spelling of 135122345000 in words is "one hundred thirty-five billion, one hundred twenty-two million, three hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 625 808 1000 1010 1250 2020 2500 2525 4040 5000 5050 10100 12625 20200 25250 50500 63125 101000 126250 252500 267569 505000 535138 1070276 1337845 2140552 2675690 5351380 6689225 10702760 13378450 26756900 27024469 33446125 53513800 54048938 66892250 108097876 133784500 135122345 167230625 216195752 267569000 270244690 334461250 540489380 668922500 675611725 1080978760 1337845000 1351223450 2702446900 3378058625 5404893800 6756117250 13512234500 16890293125 27024469000 33780586250 67561172500 135122345000