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145152 = 28347
BaseRepresentation
bin100011011100000000
321101010000
4203130000
514121102
63040000
71143120
oct433400
9241100
10145152
119a067
1270000
13510b7
143ac80
152d01c
hex23700

145152 has 90 divisors (see below), whose sum is σ = 494648. Its totient is φ = 41472.

The previous prime is 145139. The next prime is 145177. The reversal of 145152 is 251541.

Adding to 145152 its reverse (251541), we get a palindrome (396693).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

145152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20733 + ... + 20739.

2145152 is an apocalyptic number.

145152 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 145152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247324).

145152 is an abundant number, since it is smaller than the sum of its proper divisors (349496).

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

145152 is an frugal number, since it uses more digits than its factorization.

145152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 12 counting only the distinct ones).

The product of its digits is 200, while the sum is 18.

The square root of 145152 is about 380.9881887933. The cubic root of 145152 is about 52.5542296787.

The spelling of 145152 in words is "one hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 256 288 324 336 378 384 432 448 504 567 576 648 672 756 768 864 896 1008 1134 1152 1296 1344 1512 1728 1792 2016 2268 2304 2592 2688 3024 3456 4032 4536 5184 5376 6048 6912 8064 9072 10368 12096 16128 18144 20736 24192 36288 48384 72576 145152