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135028656 = 24327971381
BaseRepresentation
bin10000000110001…
…01111110110000
3100102002011111100
420003011332300
5234031404111
621222044400
73226503360
oct1003057660
9312064440
10135028656
116a247034
1239279700
1321c89619
1413d0c9a0
15bcc3756
hex80c5fb0

135028656 has 120 divisors (see below), whose sum is σ = 436645664. Its totient is φ = 38154240.

The previous prime is 135028627. The next prime is 135028661. The reversal of 135028656 is 656820531.

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

It is a self number, because there is not a number n which added to its sum of digits gives 135028656.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97086 + ... + 98466.

Almost surely, 2135028656 is an apocalyptic number.

135028656 is a gapful number since it is divisible by the number (16) 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 135028656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218322832).

135028656 is an abundant number, since it is smaller than the sum of its proper divisors (301617008).

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

135028656 is a wasteful number, since it uses less digits than its factorization.

135028656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 135028656 is about 11620.1831310870. The cubic root of 135028656 is about 513.0290785245.

The spelling of 135028656 in words is "one hundred thirty-five million, twenty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 97 112 126 144 168 194 252 291 336 388 504 582 679 776 873 1008 1164 1358 1381 1552 1746 2037 2328 2716 2762 3492 4074 4143 4656 5432 5524 6111 6984 8148 8286 9667 10864 11048 12222 12429 13968 16296 16572 19334 22096 24444 24858 29001 32592 33144 38668 48888 49716 58002 66288 77336 87003 97776 99432 116004 133957 154672 174006 198864 232008 267914 348012 401871 464016 535828 696024 803742 937699 1071656 1205613 1392048 1607484 1875398 2143312 2411226 2813097 3214968 3750796 4822452 5626194 6429936 7501592 8439291 9644904 11252388 15003184 16878582 19289808 22504776 33757164 45009552 67514328 135028656