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135163616 = 2571793371
BaseRepresentation
bin10000000111001…
…10111011100000
3100102100000121212
420003212323200
5234100213431
621225005252
73230605010
oct1003467340
9312300555
10135163616
116a329475
1239323828
1322005b93
1413d45c40
15bced72b
hex80e6ee0

135163616 has 48 divisors (see below), whose sum is σ = 305907840. Its totient is φ = 57586560.

The previous prime is 135163607. The next prime is 135163619. The reversal of 135163616 is 616361531.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135163619) 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, 38411 + ... + 41781.

It is an arithmetic number, because the mean of its divisors is an integer number (6373080).

Almost surely, 2135163616 is an apocalyptic number.

135163616 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 135163616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152953920).

135163616 is an abundant number, since it is smaller than the sum of its proper divisors (170744224).

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

135163616 is a wasteful number, since it uses less digits than its factorization.

135163616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3567 (or 3559 counting only the distinct ones).

The product of its digits is 9720, while the sum is 32.

The square root of 135163616 is about 11625.9888181608. The cubic root of 135163616 is about 513.1999443529.

The spelling of 135163616 in words is "one hundred thirty-five million, one hundred sixty-three thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 179 224 358 716 1253 1432 2506 2864 3371 5012 5728 6742 10024 13484 20048 23597 26968 40096 47194 53936 94388 107872 188776 377552 603409 755104 1206818 2413636 4223863 4827272 8447726 9654544 16895452 19309088 33790904 67581808 135163616