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135241170516 = 223223547298601
BaseRepresentation
bin111110111110100000…
…0000111111001010100
3110221002012010021221100
41331331000013321110
54203433214424031
6142043503350100
712525254660604
oct1757500077124
9427065107840
10135241170516
11523a012a111
1222263bb2330
13c9a39a3c6a
14678d5c8c04
1537b8057de6
hex1f7d007e54

135241170516 has 72 divisors (see below), whose sum is σ = 357376428864. Its totient is φ = 43041398400.

The previous prime is 135241170497. The next prime is 135241170557. The reversal of 135241170516 is 615071142531.

135241170516 is a `hidden beast` number, since 1 + 3 + 5 + 24 + 117 + 0 + 516 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303616 + ... + 602216.

It is an arithmetic number, because the mean of its divisors is an integer number (4963561512).

Almost surely, 2135241170516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135241170516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178688214432).

135241170516 is an abundant number, since it is smaller than the sum of its proper divisors (222135258348).

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

135241170516 is a wasteful number, since it uses less digits than its factorization.

135241170516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299181 (or 299176 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 135241170516 in words is "one hundred thirty-five billion, two hundred forty-one million, one hundred seventy thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 547 828 1094 1641 2188 3282 4923 6564 9846 12581 19692 25162 37743 50324 75486 113229 150972 226458 298601 452916 597202 895803 1194404 1791606 2687409 3583212 5374818 6867823 10749636 13735646 20603469 27471292 41206938 61810407 82413876 123620814 163334747 247241628 326669494 490004241 653338988 980008482 1470012723 1960016964 2940025446 3756699181 5880050892 7513398362 11270097543 15026796724 22540195086 33810292629 45080390172 67620585258 135241170516