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135946064 = 2419617331
BaseRepresentation
bin10000001101001…
…01111101010000
3100110210202221102
420012211331100
5234300233224
621253443532
73240344132
oct1006457520
9313722842
10135946064
116a813321
12396405a8
132221b077
14140ab052
15be054ae
hex81a5f50

135946064 has 40 divisors (see below), whose sum is σ = 281842080. Its totient is φ = 63331200.

The previous prime is 135946039. The next prime is 135946073. The reversal of 135946064 is 460649531.

135946064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 14879 + ... + 22209.

It is an arithmetic number, because the mean of its divisors is an integer number (7046052).

Almost surely, 2135946064 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 135946064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140921040).

135946064 is an abundant number, since it is smaller than the sum of its proper divisors (145896016).

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

135946064 is a wasteful number, since it uses less digits than its factorization.

135946064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7419 (or 7413 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 135946064 is about 11659.5910734468. The cubic root of 135946064 is about 514.1883264741.

The spelling of 135946064 in words is "one hundred thirty-five million, nine hundred forty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 19 38 61 76 122 152 244 304 488 976 1159 2318 4636 7331 9272 14662 18544 29324 58648 117296 139289 278578 447191 557156 894382 1114312 1788764 2228624 3577528 7155056 8496629 16993258 33986516 67973032 135946064