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148200132 = 223231393863
BaseRepresentation
bin10001101010101…
…01101011000100
3101022212100100210
420311111223010
5300414401012
622412235420
73446452233
oct1065255304
9338770323
10148200132
1176722a53
124176bb70
132491b8b2
141597ab1a
15d02623c
hex8d55ac4

148200132 has 48 divisors (see below), whose sum is σ = 363525120. Its totient is φ = 46900128.

The previous prime is 148200103. The next prime is 148200149. The reversal of 148200132 is 231002841.

It is a junction number, because it is equal to n+sod(n) for n = 148200099 and 148200108.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 36433 + ... + 40295.

It is an arithmetic number, because the mean of its divisors is an integer number (7573440).

Almost surely, 2148200132 is an apocalyptic number.

148200132 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 148200132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181762560).

148200132 is an abundant number, since it is smaller than the sum of its proper divisors (215324988).

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

148200132 is a wasteful number, since it uses less digits than its factorization.

148200132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 148200132 is about 12173.7476563300. The cubic root of 148200132 is about 529.1955661678.

Adding to 148200132 its reverse (231002841), we get a palindrome (379202973).

The spelling of 148200132 in words is "one hundred forty-eight million, two hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 139 276 278 417 556 834 1668 3197 3863 6394 7726 9591 11589 12788 15452 19182 23178 38364 46356 88849 177698 266547 355396 533094 536957 1066188 1073914 1610871 2147828 3221742 6443484 12350011 24700022 37050033 49400044 74100066 148200132