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144134520 = 23352634567
BaseRepresentation
bin10001001011101…
…01000101111000
3101001012210101120
420211311011320
5243344301040
622145145240
73400060155
oct1045650570
9331183346
10144134520
11743a6442
124032b220
1323b271ca
14151dd22c
15c9c17d0
hex8975178

144134520 has 64 divisors (see below), whose sum is σ = 434142720. Its totient is φ = 38281344.

The previous prime is 144134519. The next prime is 144134539. The reversal of 144134520 is 25431441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29277 + ... + 33843.

It is an arithmetic number, because the mean of its divisors is an integer number (6783480).

Almost surely, 2144134520 is an apocalyptic number.

144134520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144134520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217071360).

144134520 is an abundant number, since it is smaller than the sum of its proper divisors (290008200).

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

144134520 is a wasteful number, since it uses less digits than its factorization.

144134520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4844 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 144134520 is about 12005.6036916100. The cubic root of 144134520 is about 524.3114419953.

Adding to 144134520 its reverse (25431441), we get a palindrome (169565961).

The spelling of 144134520 in words is "one hundred forty-four million, one hundred thirty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 263 526 789 1052 1315 1578 2104 2630 3156 3945 4567 5260 6312 7890 9134 10520 13701 15780 18268 22835 27402 31560 36536 45670 54804 68505 91340 109608 137010 182680 274020 548040 1201121 2402242 3603363 4804484 6005605 7206726 9608968 12011210 14413452 18016815 24022420 28826904 36033630 48044840 72067260 144134520