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135420064 = 2513367887
BaseRepresentation
bin10000001001001…
…01100010100000
3100102211001101221
420010211202200
5234131420224
621234304424
73233023453
oct1004454240
9312731357
10135420064
116a49410a
1239428114
1322095820
1413db149a
15bd4e6e4
hex81258a0

135420064 has 48 divisors (see below), whose sum is σ = 288223488. Its totient is φ = 62260992.

The previous prime is 135420041. The next prime is 135420101. The reversal of 135420064 is 460024531.

It is a congruent number.

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, 152229 + ... + 153115.

It is an arithmetic number, because the mean of its divisors is an integer number (6004656).

Almost surely, 2135420064 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 135420064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144111744).

135420064 is an abundant number, since it is smaller than the sum of its proper divisors (152803424).

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

135420064 is a wasteful number, since it uses less digits than its factorization.

135420064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 135420064 is about 11637.0126750812. The cubic root of 135420064 is about 513.5243066732.

Adding to 135420064 its reverse (460024531), we get a palindrome (595444595).

The spelling of 135420064 in words is "one hundred thirty-five million, four hundred twenty thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 367 416 734 887 1468 1774 2936 3548 4771 5872 7096 9542 11531 11744 14192 19084 23062 28384 38168 46124 76336 92248 152672 184496 325529 368992 651058 1302116 2604232 4231877 5208464 8463754 10416928 16927508 33855016 67710032 135420064