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135076608 = 2832232549
BaseRepresentation
bin10000000110100…
…01101100000000
3100102011121021100
420003101230000
5234034422413
621223054400
73230063232
oct1003215400
9312147240
10135076608
116a27a067
12392a1400
1321ca53b4
1413d22252
15bcd2a73
hex80d1b00

135076608 has 108 divisors (see below), whose sum is σ = 406551600. Its totient is φ = 43051008.

The previous prime is 135076561. The next prime is 135076609. The reversal of 135076608 is 806670531.

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

It is not an unprimeable number, because it can be changed into a prime (135076609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51718 + ... + 54266.

Almost surely, 2135076608 is an apocalyptic number.

135076608 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 135076608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203275800).

135076608 is an abundant number, since it is smaller than the sum of its proper divisors (271474992).

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

135076608 is a wasteful number, since it uses less digits than its factorization.

135076608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 135076608 is about 11622.2462544897. The cubic root of 135076608 is about 513.0898010891.

The spelling of 135076608 in words is "one hundred thirty-five million, seventy-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 552 576 736 768 828 1104 1152 1472 1656 2208 2304 2549 2944 3312 4416 5098 5888 6624 7647 8832 10196 13248 15294 17664 20392 22941 26496 30588 40784 45882 52992 58627 61176 81568 91764 117254 122352 163136 175881 183528 234508 244704 326272 351762 367056 469016 489408 527643 652544 703524 734112 938032 978816 1055286 1407048 1468224 1876064 1957632 2110572 2814096 2936448 3752128 4221144 5628192 5872896 7504256 8442288 11256384 15008512 16884576 22512768 33769152 45025536 67538304 135076608