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135270540 = 22335250501
BaseRepresentation
bin10000001000000…
…01000010001100
3100102112110022000
420010001002030
5234112124130
621231152300
73231531516
oct1004010214
9312473260
10135270540
116a3a1839
1239375690
1322042752
1413d72bb6
15bd20260
hex810108c

135270540 has 48 divisors (see below), whose sum is σ = 420843360. Its totient is φ = 36072000.

The previous prime is 135270523. The next prime is 135270589. The reversal of 135270540 is 45072531.

It is a happy number.

135270540 is a `hidden beast` number, since 1 + 3 + 52 + 70 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124711 + ... + 125790.

It is an arithmetic number, because the mean of its divisors is an integer number (8767570).

Almost surely, 2135270540 is an apocalyptic number.

135270540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135270540 is an abundant number, since it is smaller than the sum of its proper divisors (285572820).

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

135270540 is a wasteful number, since it uses less digits than its factorization.

135270540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250519 (or 250511 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 135270540 is about 11630.5863996619. The cubic root of 135270540 is about 513.3352345275.

The spelling of 135270540 in words is "one hundred thirty-five million, two hundred seventy thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 250501 501002 751503 1002004 1252505 1503006 2254509 2505010 3006012 3757515 4509018 5010020 6763527 7515030 9018036 11272545 13527054 15030060 22545090 27054108 33817635 45090180 67635270 135270540