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135132130 = 2572383933
BaseRepresentation
bin10000000110111…
…11001111100010
3100102021102102201
420003133033202
5234043212010
621224203414
73230414140
oct1003371742
9312242381
10135132130
116a307851
123930956a
1321cc4753
1413d38590
15bce423a
hex80df3e2

135132130 has 32 divisors (see below), whose sum is σ = 290075904. Its totient is φ = 44316096.

The previous prime is 135132121. The next prime is 135132149. The reversal of 135132130 is 31231531.

135132130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 135132098 and 135132107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40357 + ... + 43576.

It is an arithmetic number, because the mean of its divisors is an integer number (9064872).

Almost surely, 2135132130 is an apocalyptic number.

135132130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135132130 is an abundant number, since it is smaller than the sum of its proper divisors (154943774).

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

135132130 is a wasteful number, since it uses less digits than its factorization.

135132130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83970.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 135132130 is about 11624.6346179138. The cubic root of 135132130 is about 513.1600917437.

Adding to 135132130 its reverse (31231531), we get a palindrome (166363661).

The spelling of 135132130 in words is "one hundred thirty-five million, one hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 23 35 46 70 115 161 230 322 805 1610 83933 167866 419665 587531 839330 1175062 1930459 2937655 3860918 5875310 9652295 13513213 19304590 27026426 67566065 135132130