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148134364 = 22753173577
BaseRepresentation
bin10001101010001…
…01100111011100
3101022202000010221
420311011213130
5300410244424
622411011124
73446056420
oct1065054734
9338660127
10148134364
11766885a4
1241739aa4
13248c7991
1415960b80
15d0119e4
hex8d459dc

148134364 has 48 divisors (see below), whose sum is σ = 304129728. Its totient is φ = 61820928.

The previous prime is 148134361. The next prime is 148134373. The reversal of 148134364 is 463431841.

148134364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148134361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256444 + ... + 257020.

It is an arithmetic number, because the mean of its divisors is an integer number (6336036).

Almost surely, 2148134364 is an apocalyptic number.

148134364 is a gapful number since it is divisible by the number (14) 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 148134364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152064864).

148134364 is an abundant number, since it is smaller than the sum of its proper divisors (155995364).

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

148134364 is a wasteful number, since it uses less digits than its factorization.

148134364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 812 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

The square root of 148134364 is about 12171.0461341661. The cubic root of 148134364 is about 529.1172727520.

The spelling of 148134364 in words is "one hundred forty-eight million, one hundred thirty-four thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 53 106 173 212 346 371 577 692 742 1154 1211 1484 2308 2422 4039 4844 8078 9169 16156 18338 30581 36676 61162 64183 99821 122324 128366 199642 214067 256732 399284 428134 698747 856268 1397494 2794988 5290513 10581026 21162052 37033591 74067182 148134364