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148743144 = 2332111091723
BaseRepresentation
bin10001101110110…
…10001111101000
3101100212221020100
420313122033220
5301034240034
622432025400
73454203324
oct1067321750
9340787210
10148743144
1176a63a20
1241992260
1324a7bac4
1415a7c984
15d0d2099
hex8dda3e8

148743144 has 96 divisors (see below), whose sum is σ = 443757600. Its totient is φ = 44634240.

The previous prime is 148743137. The next prime is 148743157. The reversal of 148743144 is 441347841.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 148743099 and 148743108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85467 + ... + 87189.

It is an arithmetic number, because the mean of its divisors is an integer number (4622475).

Almost surely, 2148743144 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 148743144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221878800).

148743144 is an abundant number, since it is smaller than the sum of its proper divisors (295014456).

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

148743144 is a wasteful number, since it uses less digits than its factorization.

148743144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1848 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 148743144 is about 12196.0298458146. The cubic root of 148743144 is about 529.8411105531.

The spelling of 148743144 in words is "one hundred forty-eight million, seven hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 109 132 198 218 264 327 396 436 654 792 872 981 1199 1308 1723 1962 2398 2616 3446 3597 3924 4796 5169 6892 7194 7848 9592 10338 10791 13784 14388 15507 18953 20676 21582 28776 31014 37906 41352 43164 56859 62028 75812 86328 113718 124056 151624 170577 187807 227436 341154 375614 454872 563421 682308 751228 1126842 1364616 1502456 1690263 2065877 2253684 3380526 4131754 4507368 6197631 6761052 8263508 12395262 13522104 16527016 18592893 24790524 37185786 49581048 74371572 148743144