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133907600808 = 233273113225461
BaseRepresentation
bin111110010110110000…
…0111101010110101000
3110210122020202221012200
41330231200331112220
54143220321211213
6141303304340200
712450232553352
oct1745540752650
9423566687180
10133907600808
1151876393493
1221b51474660
13c820614267
1466a444a0d2
15373ae36273
hex1f2d83d5a8

133907600808 has 96 divisors (see below), whose sum is σ = 370889499240. Its totient is φ = 43634626560.

The previous prime is 133907600803. The next prime is 133907600857. The reversal of 133907600808 is 808006709331.

It is a happy number.

133907600808 is a `hidden beast` number, since 1 + 3 + 39 + 0 + 7 + 600 + 8 + 0 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53797091364 + 80110509444 = 231942^2 + 283038^2 .

It is not an unprimeable number, because it can be changed into a prime (133907600803) 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, 481198 + ... + 706658.

Almost surely, 2133907600808 is an apocalyptic number.

133907600808 is a gapful number since it is divisible by the number (18) 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 133907600808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185444749620).

133907600808 is an abundant number, since it is smaller than the sum of its proper divisors (236981898432).

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

133907600808 is a wasteful number, since it uses less digits than its factorization.

133907600808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225659 (or 225652 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 133907600808 in words is "one hundred thirty-three billion, nine hundred seven million, six hundred thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 113 146 219 226 292 339 438 452 584 657 678 876 904 1017 1314 1356 1752 2034 2628 2712 4068 5256 8136 8249 16498 24747 32996 49494 65992 74241 98988 148482 197976 225461 296964 450922 593928 676383 901844 1352766 1803688 2029149 2705532 4058298 5411064 8116596 16233192 16458653 25477093 32917306 49375959 50954186 65834612 76431279 98751918 101908372 131669224 148127877 152862558 197503836 203816744 229293837 296255754 305725116 395007672 458587674 592511508 611450232 917175348 1185023016 1834350696 1859827789 3719655578 5579483367 7439311156 11158966734 14878622312 16738450101 22317933468 33476900202 44635866936 66953800404 133907600808