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134133440 = 2657233257
BaseRepresentation
bin1111111111010…
…11011011000000
3100100101200111012
413333223123000
5233314232230
621150540052
73216054410
oct777533300
9310350435
10134133440
1169795491
1238b07628
1321a34ccc
1413b58640
15bb98395
hex7feb6c0

134133440 has 112 divisors (see below), whose sum is σ = 368027712. Its totient is φ = 45613056.

The previous prime is 134133437. The next prime is 134133457. The reversal of 134133440 is 44331431.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521792 + ... + 522048.

Almost surely, 2134133440 is an apocalyptic number.

134133440 is a gapful number since it is divisible by the number (10) 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 134133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184013856).

134133440 is an abundant number, since it is smaller than the sum of its proper divisors (233894272).

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

134133440 is a wasteful number, since it uses less digits than its factorization.

134133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 134133440 is about 11581.5991987290. The cubic root of 134133440 is about 511.8927998221.

Adding to 134133440 its reverse (44331431), we get a palindrome (178464871).

The spelling of 134133440 in words is "one hundred thirty-four million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 233 257 280 320 448 466 514 560 932 1028 1120 1165 1285 1631 1799 1864 2056 2240 2330 2570 3262 3598 3728 4112 4660 5140 6524 7196 7456 8155 8224 8995 9320 10280 13048 14392 14912 16310 16448 17990 18640 20560 26096 28784 32620 35980 37280 41120 52192 57568 59881 65240 71960 74560 82240 104384 115136 119762 130480 143920 239524 260960 287840 299405 419167 479048 521920 575680 598810 838334 958096 1197620 1676668 1916192 2095835 2395240 3353336 3832384 4191670 4790480 6706672 8383340 9580960 13413344 16766680 19161920 26826688 33533360 67066720 134133440