Search a number
-
+
148668120153 = 32723113907969
BaseRepresentation
bin1000101001110101001…
…1110111110001011001
3112012201221022000012100
42022131103313301121
54413433014321103
6152144105434013
713512064112430
oct2123523676131
9465657260170
10148668120153
1158060307103
122499079b909
1311033661987
1472a4932117
153d01be35a3
hex229d4f7c59

148668120153 has 48 divisors (see below), whose sum is σ = 258357415680. Its totient is φ = 80540393472.

The previous prime is 148668120131. The next prime is 148668120169. The reversal of 148668120153 is 351021866841.

148668120153 is a `hidden beast` number, since 1 + 486 + 6 + 8 + 12 + 0 + 153 = 666.

It is not a de Polignac number, because 148668120153 - 217 = 148667989081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 148668120099 and 148668120108.

It is not an unprimeable number, because it can be changed into a prime (148668120253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290248 + ... + 617721.

It is an arithmetic number, because the mean of its divisors is an integer number (5382446160).

Almost surely, 2148668120153 is an apocalyptic number.

It is an amenable number.

148668120153 is a deficient number, since it is larger than the sum of its proper divisors (109689295527).

148668120153 is a wasteful number, since it uses less digits than its factorization.

148668120153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908118 (or 908115 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

Adding to 148668120153 its reverse (351021866841), we get a palindrome (499689986994).

The spelling of 148668120153 in words is "one hundred forty-eight billion, six hundred sixty-eight million, one hundred twenty thousand, one hundred fifty-three".

Divisors: 1 3 7 9 21 23 63 69 113 161 207 339 483 791 1017 1449 2373 2599 7119 7797 18193 23391 54579 163737 907969 2723907 6355783 8171721 19067349 20883287 57202047 62649861 102600497 146183009 187949583 307801491 438549027 718203479 923404473 1315647081 2154610437 2359811431 6463831311 7079434293 16518680017 21238302879 49556040051 148668120153