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135036264 = 233114710883
BaseRepresentation
bin10000000110001…
…11110101101000
3100102002112221010
420003013311220
5234032130024
621222143520
73226534506
oct1003076550
9312075833
10135036264
116a251820
1239281ba0
1321c8cc1c
1413d11676
15bcc5b29
hex80c7d68

135036264 has 64 divisors (see below), whose sum is σ = 376151040. Its totient is φ = 40045760.

The previous prime is 135036263. The next prime is 135036271. The reversal of 135036264 is 462630531.

It is not an unprimeable number, because it can be changed into a prime (135036263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6967 + ... + 17849.

It is an arithmetic number, because the mean of its divisors is an integer number (5877360).

Almost surely, 2135036264 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 135036264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188075520).

135036264 is an abundant number, since it is smaller than the sum of its proper divisors (241114776).

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

135036264 is a wasteful number, since it uses less digits than its factorization.

135036264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10950 (or 10946 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 135036264 is about 11620.5104879261. The cubic root of 135036264 is about 513.0387136446.

Adding to 135036264 its reverse (462630531), we get a palindrome (597666795).

The spelling of 135036264 in words is "one hundred thirty-five million, thirty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 282 376 517 564 1034 1128 1551 2068 3102 4136 6204 10883 12408 21766 32649 43532 65298 87064 119713 130596 239426 261192 359139 478852 511501 718278 957704 1023002 1436556 1534503 2046004 2873112 3069006 4092008 5626511 6138012 11253022 12276024 16879533 22506044 33759066 45012088 67518132 135036264