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135575748 = 2233721117137
BaseRepresentation
bin10000001010010…
…11100011000100
3100110002221222000
420011023203010
5234201410443
621241505300
73234242400
oct1005134304
9313087860
10135575748
116a590080
12394a2230
132211b649
1414012100
15bd808d3
hex814b8c4

135575748 has 288 divisors, whose sum is σ = 475735680. Its totient is φ = 32901120.

The previous prime is 135575743. The next prime is 135575761. The reversal of 135575748 is 847575531.

It is a happy number.

135575748 is a `hidden beast` number, since 1 + 3 + 5 + 575 + 74 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (135575743) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 989536 + ... + 989672.

It is an arithmetic number, because the mean of its divisors is an integer number (1651860).

Almost surely, 2135575748 is an apocalyptic number.

135575748 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135575748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237867840).

135575748 is an abundant number, since it is smaller than the sum of its proper divisors (340159932).

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

135575748 is a wasteful number, since it uses less digits than its factorization.

135575748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 177 counting only the distinct ones).

The product of its digits is 588000, while the sum is 45.

The square root of 135575748 is about 11643.6999274286. The cubic root of 135575748 is about 513.7210202631.

The spelling of 135575748 in words is "one hundred thirty-five million, five hundred seventy-five thousand, seven hundred forty-eight".