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135054288 = 2432937877
BaseRepresentation
bin10000000110011…
…00001111010000
3100102010110122200
420003030033100
5234033214123
621222403200
73226641165
oct1003141720
9312113580
10135054288
116a264316
1239290500
1321c981a5
1413d1806c
15bccb143
hex80cc3d0

135054288 has 30 divisors (see below), whose sum is σ = 377964834. Its totient is φ = 45018048.

The previous prime is 135054263. The next prime is 135054301. The reversal of 135054288 is 882450531.

It is a happy number.

135054288 is a `hidden beast` number, since 1 + 35 + 0 + 542 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 113039424 + 22014864 = 10632^2 + 4692^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 468795 + ... + 469082.

Almost surely, 2135054288 is an apocalyptic number.

135054288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135054288 is an abundant number, since it is smaller than the sum of its proper divisors (242910546).

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

135054288 is a wasteful number, since it uses less digits than its factorization.

135054288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937891 (or 937882 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 135054288 is about 11621.2859873596. The cubic root of 135054288 is about 513.0615386204.

The spelling of 135054288 in words is "one hundred thirty-five million, fifty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 937877 1875754 2813631 3751508 5627262 7503016 8440893 11254524 15006032 16881786 22509048 33763572 45018096 67527144 135054288