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135451648 = 2101731251
BaseRepresentation
bin10000001001011…
…01010000000000
3100102212122201201
420010231100000
5234133423043
621235110544
73233214523
oct1004552000
9312778651
10135451648
116a505912
1239442454
13220a7007
1413dbcbba
15bd58c4d
hex812d400

135451648 has 88 divisors (see below), whose sum is σ = 297126144. Its totient is φ = 61440000.

The previous prime is 135451637. The next prime is 135451649. The reversal of 135451648 is 846154531.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135451649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 539523 + ... + 539773.

Almost surely, 2135451648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135451648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148563072).

135451648 is an abundant number, since it is smaller than the sum of its proper divisors (161674496).

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

135451648 is a wasteful number, since it uses less digits than its factorization.

135451648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 301 counting only the distinct ones).

The product of its digits is 57600, while the sum is 37.

The square root of 135451648 is about 11638.3696452725. The cubic root of 135451648 is about 513.5642266340.

The spelling of 135451648 in words is "one hundred thirty-five million, four hundred fifty-one thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 248 251 256 272 496 502 512 527 544 992 1004 1024 1054 1088 1984 2008 2108 2176 3968 4016 4216 4267 4352 7781 7936 8032 8432 8534 8704 15562 15872 16064 16864 17068 17408 31124 31744 32128 33728 34136 62248 64256 67456 68272 124496 128512 132277 134912 136544 248992 257024 264554 269824 273088 497984 529108 539648 546176 995968 1058216 1092352 1991936 2116432 2184704 3983872 4232864 4369408 7967744 8465728 16931456 33862912 67725824 135451648