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135848416 = 2511419413
BaseRepresentation
bin10000001100011…
…10000111100000
3100110121210222211
420012032013200
5234234122131
621251411504
73236456344
oct1006160740
9313553884
10135848416
116a756a20
12395b3b94
13221b57a2
1414083624
15bdd65b1
hex818e1e0

135848416 has 48 divisors (see below), whose sum is σ = 298913328. Its totient is φ = 60236800.

The previous prime is 135848413. The next prime is 135848431. The reversal of 135848416 is 614848531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135848413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9726 + ... + 19138.

It is an arithmetic number, because the mean of its divisors is an integer number (6227361).

Almost surely, 2135848416 is an apocalyptic number.

135848416 is a gapful number since it is divisible by the number (16) 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 135848416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149456664).

135848416 is an abundant number, since it is smaller than the sum of its proper divisors (163064912).

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

135848416 is a wasteful number, since it uses less digits than its factorization.

135848416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9475 (or 9467 counting only the distinct ones).

The product of its digits is 92160, while the sum is 40.

The square root of 135848416 is about 11655.4028673401. The cubic root of 135848416 is about 514.0651857554.

The spelling of 135848416 in words is "one hundred thirty-five million, eight hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 164 176 328 352 451 656 902 1312 1804 3608 7216 9413 14432 18826 37652 75304 103543 150608 207086 301216 385933 414172 771866 828344 1543732 1656688 3087464 3313376 4245263 6174928 8490526 12349856 16981052 33962104 67924208 135848416