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148225152 = 2731392777
BaseRepresentation
bin10001101010110…
…11110010000000
3101022220121200110
420311123302000
5300421201102
622412551320
73446615205
oct1065336200
9338817613
10148225152
117673a829
1241782540
132492a0ba
1415985cac
15d02d86c
hex8d5bc80

148225152 has 64 divisors (see below), whose sum is σ = 396698400. Its totient is φ = 49035264.

The previous prime is 148225109. The next prime is 148225163. The reversal of 148225152 is 251522841.

148225152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51988 + ... + 54764.

Almost surely, 2148225152 is an apocalyptic number.

148225152 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 148225152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198349200).

148225152 is an abundant number, since it is smaller than the sum of its proper divisors (248473248).

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

148225152 is a wasteful number, since it uses less digits than its factorization.

148225152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933 (or 2921 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

The square root of 148225152 is about 12174.7752340649. The cubic root of 148225152 is about 529.2253451067.

Adding to 148225152 its reverse (251522841), we get a palindrome (399747993).

The spelling of 148225152 in words is "one hundred forty-eight million, two hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 278 384 417 556 834 1112 1668 2224 2777 3336 4448 5554 6672 8331 8896 11108 13344 16662 17792 22216 26688 33324 44432 53376 66648 88864 133296 177728 266592 355456 386003 533184 772006 1066368 1158009 1544012 2316018 3088024 4632036 6176048 9264072 12352096 18528144 24704192 37056288 49408384 74112576 148225152