Search a number
-
+
135950157 = 347234253
BaseRepresentation
bin10000001101001…
…10111101001101
3100110210222120000
420012212331031
5234300401112
621253514513
73240362100
oct1006467515
9313728500
10135950157
116a816402
1239642a39
132221cba5
14140ac737
15be067dc
hex81a6f4d

135950157 has 30 divisors (see below), whose sum is σ = 236249838. Its totient is φ = 77683536.

The previous prime is 135950153. The next prime is 135950203. The reversal of 135950157 is 751059531.

135950157 is a `hidden beast` number, since 13 + 595 + 0 + 1 + 57 = 666.

135950157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 97831881 + 38118276 = 9891^2 + 6174^2 .

It is not a de Polignac number, because 135950157 - 22 = 135950153 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135950153) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 13158 + ... + 21095.

Almost surely, 2135950157 is an apocalyptic number.

It is an amenable number.

135950157 is a deficient number, since it is larger than the sum of its proper divisors (100299681).

135950157 is an equidigital number, since it uses as much as digits as its factorization.

135950157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34279 (or 34263 counting only the distinct ones).

The product of its (nonzero) digits is 23625, while the sum is 36.

The square root of 135950157 is about 11659.7665928611. The cubic root of 135950157 is about 514.1934867355.

The spelling of 135950157 in words is "one hundred thirty-five million, nine hundred fifty thousand, one hundred fifty-seven".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 34253 102759 239771 308277 719313 924831 1678397 2157939 2774493 5035191 6473817 15105573 19421451 45316719 135950157