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145135744 = 271387221
BaseRepresentation
bin10001010011010…
…01100010000000
3101010002122210221
420221221202000
5244123320434
622222432424
73411430165
oct1051514200
9333078727
10145135744
1174a1a6a6
1240732714
13240b7b50
14153c006c
15cb1d2b4
hex8a69880

145135744 has 32 divisors (see below), whose sum is σ = 311382540. Its totient is φ = 66984960.

The previous prime is 145135733. The next prime is 145135747. The reversal of 145135744 is 447531541.

145135744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 141895744 + 3240000 = 11912^2 + 1800^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (145135747) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41947 + ... + 45274.

Almost surely, 2145135744 is an apocalyptic number.

It is an amenable number.

145135744 is an abundant number, since it is smaller than the sum of its proper divisors (166246796).

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

145135744 is an equidigital number, since it uses as much as digits as its factorization.

145135744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87248 (or 87236 counting only the distinct ones).

The product of its digits is 33600, while the sum is 34.

The square root of 145135744 is about 12047.2297230525. The cubic root of 145135744 is about 525.5226770442.

The spelling of 145135744 in words is "one hundred forty-five million, one hundred thirty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 87221 174442 348884 697768 1133873 1395536 2267746 2791072 4535492 5582144 9070984 11164288 18141968 36283936 72567872 145135744