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144137808 = 24321975081
BaseRepresentation
bin10001001011101…
…01111001010000
3101001012221220100
420211311321100
5243344402213
622145212400
73400102563
oct1045657120
9331187810
10144137808
11743a8961
1240331100
1323b28859
14152004da
15c9c2773
hex8975e50

144137808 has 60 divisors (see below), whose sum is σ = 405513108. Its totient is φ = 47792640.

The previous prime is 144137789. The next prime is 144137809. The reversal of 144137808 is 808731441.

It can be written as a sum of positive squares in 2 ways, for example, as 88962624 + 55175184 = 9432^2 + 7428^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144137809) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 25828 + ... + 30908.

Almost surely, 2144137808 is an apocalyptic number.

144137808 is a gapful number since it is divisible by the number (18) 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 144137808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202756554).

144137808 is an abundant number, since it is smaller than the sum of its proper divisors (261375300).

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

144137808 is a wasteful number, since it uses less digits than its factorization.

144137808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5292 (or 5283 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 144137808 is about 12005.7406268835. The cubic root of 144137808 is about 524.3154288332.

The spelling of 144137808 in words is "one hundred forty-four million, one hundred thirty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 197 394 591 788 1182 1576 1773 2364 3152 3546 4728 5081 7092 9456 10162 14184 15243 20324 28368 30486 40648 45729 60972 81296 91458 121944 182916 243888 365832 731664 1000957 2001914 3002871 4003828 6005742 8007656 9008613 12011484 16015312 18017226 24022968 36034452 48045936 72068904 144137808