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145452144 = 24319433709
BaseRepresentation
bin10001010101101…
…10110001110000
3101010200201211110
420222312301300
5244213432034
622233313320
73414215505
oct1052666160
9333621743
10145452144
1175116392
1240865840
1324198b76
14154634ac
15cb81de9
hex8ab6c70

145452144 has 80 divisors (see below), whose sum is σ = 404835200. Its totient is φ = 44851968.

The previous prime is 145452137. The next prime is 145452149. The reversal of 145452144 is 441254541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145452149) 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 15 ways as a sum of consecutive naturals, for example, 37362 + ... + 41070.

It is an arithmetic number, because the mean of its divisors is an integer number (5060440).

Almost surely, 2145452144 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 145452144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202417600).

145452144 is an abundant number, since it is smaller than the sum of its proper divisors (259383056).

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

145452144 is a wasteful number, since it uses less digits than its factorization.

145452144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782 (or 3776 counting only the distinct ones).

The product of its digits is 12800, while the sum is 30.

The square root of 145452144 is about 12060.3542236536. The cubic root of 145452144 is about 525.9042846074.

The spelling of 145452144 in words is "one hundred forty-five million, four hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 43 48 57 76 86 114 129 152 172 228 258 304 344 456 516 688 817 912 1032 1634 2064 2451 3268 3709 4902 6536 7418 9804 11127 13072 14836 19608 22254 29672 39216 44508 59344 70471 89016 140942 159487 178032 211413 281884 318974 422826 478461 563768 637948 845652 956922 1127536 1275896 1691304 1913844 2551792 3030253 3382608 3827688 6060506 7655376 9090759 12121012 18181518 24242024 36363036 48484048 72726072 145452144