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144540132 = 223111497349
BaseRepresentation
bin10001001110110…
…00000111100100
3101001222101210020
420213120013210
5244000241012
622201555140
73403366542
oct1047300744
9331871706
10144540132
1174653160
12404a5ab0
1323c39a09
14152a6d92
15ca51a8c
hex89d81e4

144540132 has 48 divisors (see below), whose sum is σ = 370440000. Its totient is φ = 43500160.

The previous prime is 144540131. The next prime is 144540133. The reversal of 144540132 is 231045441.

It is an interprime number because it is at equal distance from previous prime (144540131) and next prime (144540133).

It is not an unprimeable number, because it can be changed into a prime (144540131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15994 + ... + 23342.

It is an arithmetic number, because the mean of its divisors is an integer number (7717500).

Almost surely, 2144540132 is an apocalyptic number.

144540132 is a gapful number since it is divisible by the number (12) 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 144540132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185220000).

144540132 is an abundant number, since it is smaller than the sum of its proper divisors (225899868).

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

144540132 is a wasteful number, since it uses less digits than its factorization.

144540132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7516 (or 7514 counting only the distinct ones).

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

The square root of 144540132 is about 12022.4844354235. The cubic root of 144540132 is about 524.8028066678.

Adding to 144540132 its reverse (231045441), we get a palindrome (375585573).

The spelling of 144540132 in words is "one hundred forty-four million, five hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 149 298 447 596 894 1639 1788 3278 4917 6556 7349 9834 14698 19668 22047 29396 44094 80839 88188 161678 242517 323356 485034 970068 1095001 2190002 3285003 4380004 6570006 12045011 13140012 24090022 36135033 48180044 72270066 144540132