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135275520 = 210358807
BaseRepresentation
bin10000001000000…
…10010000000000
3100102112201010110
420010002100000
5234112304040
621231231320
73231552162
oct1004022000
9312481113
10135275520
116a3a5556
1239378540
1322044ab3
1413d74932
15bd21980
hex8102400

135275520 has 88 divisors (see below), whose sum is σ = 432719424. Its totient is φ = 36069376.

The previous prime is 135275513. The next prime is 135275533. The reversal of 135275520 is 25572531.

It is a super-2 number, since 2×1352755202 = 36598932622540800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10957 + ... + 19763.

Almost surely, 2135275520 is an apocalyptic number.

135275520 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 135275520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216359712).

135275520 is an abundant number, since it is smaller than the sum of its proper divisors (297443904).

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

135275520 is an equidigital number, since it uses as much as digits as its factorization.

135275520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8835 (or 8817 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 135275520 is about 11630.8004883585. The cubic root of 135275520 is about 513.3415339482.

The spelling of 135275520 in words is "one hundred thirty-five million, two hundred seventy-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 8807 15360 17614 26421 35228 44035 52842 70456 88070 105684 132105 140912 176140 211368 264210 281824 352280 422736 528420 563648 704560 845472 1056840 1127296 1409120 1690944 2113680 2254592 2818240 3381888 4227360 4509184 5636480 6763776 8454720 9018368 11272960 13527552 16909440 22545920 27055104 33818880 45091840 67637760 135275520