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135044272 = 241171101107
BaseRepresentation
bin10000000110010…
…01110010110000
3100102002221220201
420003021302300
5234032404042
621222244544
73226600036
oct1003116260
9312087821
10135044272
116a257840
1239286754
1321c9376c
1413d14556
15bcc81b7
hex80c9cb0

135044272 has 80 divisors (see below), whose sum is σ = 295052544. Its totient is φ = 59360000.

The previous prime is 135044251. The next prime is 135044279. The reversal of 135044272 is 272440531.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 135044272.

It is not an unprimeable number, because it can be changed into a prime (135044279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1262043 + ... + 1262149.

Almost surely, 2135044272 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 135044272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147526272).

135044272 is an abundant number, since it is smaller than the sum of its proper divisors (160008272).

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

135044272 is a wasteful number, since it uses less digits than its factorization.

135044272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 135044272 is about 11620.8550459938. The cubic root of 135044272 is about 513.0488549520.

The spelling of 135044272 in words is "one hundred thirty-five million, forty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 71 88 101 107 142 176 202 214 284 404 428 568 781 808 856 1111 1136 1177 1562 1616 1712 2222 2354 3124 4444 4708 6248 7171 7597 8888 9416 10807 12496 14342 15194 17776 18832 21614 28684 30388 43228 57368 60776 78881 83567 86456 114736 118877 121552 157762 167134 172912 237754 315524 334268 475508 631048 668536 767297 951016 1262096 1337072 1534594 1902032 3069188 6138376 8440267 12276752 16880534 33761068 67522136 135044272