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145645248 = 26372113137
BaseRepresentation
bin10001010111001…
…01111011000000
3101011001112201110
420223211323000
5244241121443
622241403320
73415651500
oct1053457300
9334045643
10145645248
1175238481
1240939540
1324235a28
14154b3a00
15cbbe233
hex8ae5ec0

145645248 has 168 divisors, whose sum is σ = 455535792. Its totient is φ = 40943616.

The previous prime is 145645237. The next prime is 145645249. The reversal of 145645248 is 842546541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (145645249) 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 23 ways as a sum of consecutive naturals, for example, 1063036 + ... + 1063172.

Almost surely, 2145645248 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 145645248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227767896).

145645248 is an abundant number, since it is smaller than the sum of its proper divisors (309890544).

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

145645248 is a wasteful number, since it uses less digits than its factorization.

145645248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 262 counting only the distinct ones).

The product of its digits is 153600, while the sum is 39.

The square root of 145645248 is about 12068.3573032953. The cubic root of 145645248 is about 526.1369139561.

The spelling of 145645248 in words is "one hundred forty-five million, six hundred forty-five thousand, two hundred forty-eight".