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135242784 = 253452177
BaseRepresentation
bin10000000111110…
…10010000100000
3100102111001020000
420003322100200
5234110232114
621230420000
73231354555
oct1003722040
9312431200
10135242784
116a3829a6
1239361600
1322032c21
1413d66a2c
15bd16e09
hex80fa420

135242784 has 60 divisors (see below), whose sum is σ = 397752894. Its totient is φ = 45080064.

The previous prime is 135242759. The next prime is 135242791. The reversal of 135242784 is 487242531.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 135210384 + 32400 = 11628^2 + 180^2 .

It is a super-2 number, since 2×1352427842 = 36581221248141312, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 23497 + ... + 28680.

Almost surely, 2135242784 is an apocalyptic number.

It is an amenable number.

135242784 is an abundant number, since it is smaller than the sum of its proper divisors (262510110).

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

135242784 is an equidigital number, since it uses as much as digits as its factorization.

135242784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52199 (or 52182 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 135242784 is about 11629.3931054032. The cubic root of 135242784 is about 513.3001219120.

The spelling of 135242784 in words is "one hundred thirty-five million, two hundred forty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 52177 104354 156531 208708 313062 417416 469593 626124 834832 939186 1252248 1408779 1669664 1878372 2504496 2817558 3756744 4226337 5008992 5635116 7513488 8452674 11270232 15026976 16905348 22540464 33810696 45080928 67621392 135242784