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144153152 = 26111319829
BaseRepresentation
bin10001001011110…
…01101001000000
3101001020201221122
420211321221000
5243400400102
622145411412
73400165403
oct1045715100
9331221848
10144153152
1174409440
1240339b68
1323b32830
1415205d3a
15c9c70a2
hex8979a40

144153152 has 112 divisors (see below), whose sum is σ = 354177600. Its totient is φ = 57231360.

The previous prime is 144153151. The next prime is 144153197. The reversal of 144153152 is 251351441.

144153152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (144153151) 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 15 ways as a sum of consecutive naturals, for example, 173474 + ... + 174302.

It is an arithmetic number, because the mean of its divisors is an integer number (3162300).

Almost surely, 2144153152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144153152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177088800).

144153152 is an abundant number, since it is smaller than the sum of its proper divisors (210024448).

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

144153152 is a wasteful number, since it uses less digits than its factorization.

144153152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 874 counting only the distinct ones).

The product of its digits is 2400, while the sum is 26.

The square root of 144153152 is about 12006.3796375094. The cubic root of 144153152 is about 524.3340332752.

The spelling of 144153152 in words is "one hundred forty-four million, one hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 19 22 26 32 38 44 52 64 76 88 104 143 152 176 208 209 247 286 304 352 416 418 494 572 608 704 829 832 836 988 1144 1216 1658 1672 1976 2288 2717 3316 3344 3952 4576 5434 6632 6688 7904 9119 9152 10777 10868 13264 13376 15751 15808 18238 21554 21736 26528 31502 36476 43108 43472 53056 63004 72952 86216 86944 118547 126008 145904 172432 173261 173888 204763 237094 252016 291808 344864 346522 409526 474188 504032 583616 689728 693044 819052 948376 1008064 1386088 1638104 1896752 2252393 2772176 3276208 3793504 4504786 5544352 6552416 7587008 9009572 11088704 13104832 18019144 36038288 72076576 144153152