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148134464 = 261728009
BaseRepresentation
bin10001101010001…
…01101001000000
3101022202000021122
420311011221000
5300410300324
622411011412
73446056622
oct1065055100
9338660248
10148134464
1176688685
1241739b68
13248c7a3a
1415960c12
15d011a5e
hex8d45a40

148134464 has 42 divisors (see below), whose sum is σ = 312301890. Its totient is φ = 69701632.

The previous prime is 148134463. The next prime is 148134491. The reversal of 148134464 is 464431841.

It can be written as a sum of positive squares in 3 ways, for example, as 70694464 + 77440000 = 8408^2 + 8800^2 .

It is not an unprimeable number, because it can be changed into a prime (148134463) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14492 + ... + 22500.

Almost surely, 2148134464 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 148134464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156150945).

148134464 is an abundant number, since it is smaller than the sum of its proper divisors (164167426).

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

148134464 is an equidigital number, since it uses as much as digits as its factorization.

148134464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8055 (or 8028 counting only the distinct ones).

The product of its digits is 36864, while the sum is 35.

The square root of 148134464 is about 12171.0502422757. The cubic root of 148134464 is about 529.1173918144.

The spelling of 148134464 in words is "one hundred forty-eight million, one hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2312 4624 8009 9248 16018 18496 32036 64072 128144 136153 256288 272306 512576 544612 1089224 2178448 2314601 4356896 4629202 8713792 9258404 18516808 37033616 74067232 148134464