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144927136 = 2519349683
BaseRepresentation
bin10001010001101…
…10100110100000
3101002201001122201
420220312212200
5244100132021
622214142544
73406601044
oct1050664640
9332631581
10144927136
11748979a2
1240651a54
1324043c03
1415368024
15cacb591
hex8a369a0

144927136 has 48 divisors (see below), whose sum is σ = 301644000. Its totient is φ = 68352768.

The previous prime is 144927073. The next prime is 144927137. The reversal of 144927136 is 631729441.

It is a junction number, because it is equal to n+sod(n) for n = 144927095 and 144927104.

It is not an unprimeable number, because it can be changed into a prime (144927137) 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 7 ways as a sum of consecutive naturals, for example, 211851 + ... + 212533.

It is an arithmetic number, because the mean of its divisors is an integer number (6284250).

Almost surely, 2144927136 is an apocalyptic number.

144927136 is a gapful number since it is divisible by the number (16) 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 144927136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150822000).

144927136 is an abundant number, since it is smaller than the sum of its proper divisors (156716864).

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

144927136 is a wasteful number, since it uses less digits than its factorization.

144927136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1053 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 144927136 is about 12038.5686856868. The cubic root of 144927136 is about 525.2707730965.

The spelling of 144927136 in words is "one hundred forty-four million, nine hundred twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 349 608 683 698 1366 1396 2732 2792 5464 5584 6631 10928 11168 12977 13262 21856 25954 26524 51908 53048 103816 106096 207632 212192 238367 415264 476734 953468 1906936 3813872 4528973 7627744 9057946 18115892 36231784 72463568 144927136