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145552128 = 283792399
BaseRepresentation
bin10001010110011…
…11001100000000
3101010212210222120
420223033030000
5244230132003
622235404240
73415113141
oct1053171400
9333783876
10145552128
1175184517
12408b3680
1324202527
141548bac8
15cba1853
hex8acf300

145552128 has 72 divisors (see below), whose sum is σ = 392448000. Its totient is φ = 47883264.

The previous prime is 145552109. The next prime is 145552129. The reversal of 145552128 is 821255541.

It is not an unprimeable number, because it can be changed into a prime (145552129) 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, 59473 + ... + 61871.

Almost surely, 2145552128 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 145552128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196224000).

145552128 is an abundant number, since it is smaller than the sum of its proper divisors (246895872).

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

145552128 is an equidigital number, since it uses as much as digits as its factorization.

145552128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497 (or 2483 counting only the distinct ones).

The product of its digits is 16000, while the sum is 33.

The square root of 145552128 is about 12064.4986634340. The cubic root of 145552128 is about 526.0247594450.

The spelling of 145552128 in words is "one hundred forty-five million, five hundred fifty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 632 768 948 1264 1896 2399 2528 3792 4798 5056 7197 7584 9596 10112 14394 15168 19192 20224 28788 30336 38384 57576 60672 76768 115152 153536 189521 230304 307072 379042 460608 568563 614144 758084 921216 1137126 1516168 1842432 2274252 3032336 4548504 6064672 9097008 12129344 18194016 24258688 36388032 48517376 72776064 145552128