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135375248 = 24291971481
BaseRepresentation
bin10000001000110…
…10100110010000
3100102201202221002
420010122212100
5234124001443
621233321132
73232446011
oct1004324620
9312652832
10135375248
116a463478
12394061a8
132207b2c8
1413d9d008
15bd412b8
hex811a990

135375248 has 40 divisors (see below), whose sum is σ = 272895480. Its totient is φ = 64977920.

The previous prime is 135375221. The next prime is 135375283. The reversal of 135375248 is 842573531.

It can be written as a sum of positive squares in 4 ways, for example, as 54878464 + 80496784 = 7408^2 + 8972^2 .

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, 90668 + ... + 92148.

It is an arithmetic number, because the mean of its divisors is an integer number (6822387).

Almost surely, 2135375248 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 135375248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136447740).

135375248 is an abundant number, since it is smaller than the sum of its proper divisors (137520232).

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

135375248 is a wasteful number, since it uses less digits than its factorization.

135375248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1709 counting only the distinct ones).

The product of its digits is 100800, while the sum is 38.

The square root of 135375248 is about 11635.0869356443. The cubic root of 135375248 is about 513.4676517387.

The spelling of 135375248 in words is "one hundred thirty-five million, three hundred seventy-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 29 58 116 197 232 394 464 788 1481 1576 2962 3152 5713 5924 11426 11848 22852 23696 42949 45704 85898 91408 171796 291757 343592 583514 687184 1167028 2334056 4668112 8460953 16921906 33843812 67687624 135375248