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153130145 = 5726171013
BaseRepresentation
bin10010010000010…
…01010010100001
3101200010211001212
421020021102201
5303200131040
623110035505
73536404400
oct1110112241
9350124055
10153130145
117948aa43
1243348b95
132595686c
14164a1637
15d69bd65
hex92094a1

153130145 has 24 divisors (see below), whose sum is σ = 214314984. Its totient is φ = 104729856.

The previous prime is 153130141. The next prime is 153130147. The reversal of 153130145 is 541031351.

It can be written as a sum of positive squares in 4 ways, for example, as 18593344 + 134536801 = 4312^2 + 11599^2 .

It is not a de Polignac number, because 153130145 - 22 = 153130141 is a prime.

It is a super-3 number, since 3×1531301453 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 153130145.

It is not an unprimeable number, because it can be changed into a prime (153130141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150659 + ... + 151671.

It is an arithmetic number, because the mean of its divisors is an integer number (8929791).

Almost surely, 2153130145 is an apocalyptic number.

It is an amenable number.

153130145 is a deficient number, since it is larger than the sum of its proper divisors (61184839).

153130145 is a wasteful number, since it uses less digits than its factorization.

153130145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 153130145 is about 12374.5765584120. The cubic root of 153130145 is about 534.9997321453. Note that the first 3 decimals are identical.

Adding to 153130145 its reverse (541031351), we get a palindrome (694161496).

The spelling of 153130145 in words is "one hundred fifty-three million, one hundred thirty thousand, one hundred forty-five".

Divisors: 1 5 7 35 49 245 617 1013 3085 4319 5065 7091 21595 30233 35455 49637 151165 248185 625021 3125105 4375147 21875735 30626029 153130145