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135011916 = 223213436709
BaseRepresentation
bin10000000110000…
…01111001001100
3100102001022112100
420003001321030
5234030340131
621221435100
73226403514
oct1003017114
9312038470
10135011916
116a2354a6
123926ba90
1321c81b10
1413d06844
15bcbd7e6
hex80c1e4c

135011916 has 72 divisors (see below), whose sum is σ = 376135760. Its totient is φ = 40569984.

The previous prime is 135011911. The next prime is 135011917. The reversal of 135011916 is 619110531.

It is a self number, because there is not a number n which added to its sum of digits gives 135011916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135011911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16770 + ... + 23478.

Almost surely, 2135011916 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 135011916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188067880).

135011916 is an abundant number, since it is smaller than the sum of its proper divisors (241123844).

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

135011916 is a wasteful number, since it uses less digits than its factorization.

135011916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6775 (or 6770 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 135011916 is about 11619.4628103024. The cubic root of 135011916 is about 513.0078769466.

The spelling of 135011916 in words is "one hundred thirty-five million, eleven thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 52 78 86 117 129 156 172 234 258 387 468 516 559 774 1118 1548 1677 2236 3354 5031 6708 6709 10062 13418 20124 20127 26836 40254 60381 80508 87217 120762 174434 241524 261651 288487 348868 523302 576974 784953 865461 1046604 1153948 1569906 1730922 2596383 3139812 3461844 3750331 5192766 7500662 10385532 11250993 15001324 22501986 33752979 45003972 67505958 135011916