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135166464 = 293229333
BaseRepresentation
bin10000000111001…
…11101000000000
3100102100011112100
420003213220000
5234100311324
621225030400
73230616216
oct1003475000
9312304470
10135166464
116a330624
1239325400
1322007274
1413d46cb6
15bcee4c9
hex80e7a00

135166464 has 60 divisors (see below), whose sum is σ = 390112866. Its totient is φ = 45053952.

The previous prime is 135166459. The next prime is 135166487. The reversal of 135166464 is 464661531.

It is a happy number.

135166464 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 6 + 646 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96825600 + 38340864 = 9840^2 + 6192^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10059 + ... + 19274.

Almost surely, 2135166464 is an apocalyptic number.

It is an amenable number.

135166464 is an abundant number, since it is smaller than the sum of its proper divisors (254946402).

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

135166464 is an equidigital number, since it uses as much as digits as its factorization.

135166464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29357 (or 29338 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 135166464 is about 11626.1113017208. Note that the first 3 decimals coincide. The cubic root of 135166464 is about 513.2035488318.

The spelling of 135166464 in words is "one hundred thirty-five million, one hundred sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 29333 58666 87999 117332 175998 234664 263997 351996 469328 527994 703992 938656 1055988 1407984 1877312 2111976 2815968 3754624 4223952 5631936 7509248 8447904 11263872 15018496 16895808 22527744 33791616 45055488 67583232 135166464