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153146312 = 23112158209
BaseRepresentation
bin10010010000011…
…01001111001000
3101200011122020122
421020031033020
5303201140222
623110242412
73536502464
oct1110151710
9350148218
10153146312
11794a1100
1243356408
1325961027
14164a74a4
15d6a1a42
hex920d3c8

153146312 has 24 divisors (see below), whose sum is σ = 315628950. Its totient is φ = 69611520.

The previous prime is 153146297. The next prime is 153146317. The reversal of 153146312 is 213641351.

153146312 is digitally balanced in base 3, 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., 148011556 + 5134756 = 12166^2 + 2266^2 .

It is not an unprimeable number, because it can be changed into a prime (153146317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 78137 + ... + 80072.

Almost surely, 2153146312 is an apocalyptic number.

It is an amenable number.

153146312 is an abundant number, since it is smaller than the sum of its proper divisors (162482638).

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

153146312 is a wasteful number, since it uses less digits than its factorization.

153146312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158237 (or 158222 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 153146312 is about 12375.2297756446. The cubic root of 153146312 is about 535.0185593468.

Adding to 153146312 its reverse (213641351), we get a palindrome (366787663).

The spelling of 153146312 in words is "one hundred fifty-three million, one hundred forty-six thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 158209 316418 632836 1265672 1740299 3480598 6961196 13922392 19143289 38286578 76573156 153146312