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133640148 = 223191933037
BaseRepresentation
bin1111111011100…
…10111111010100
3100022110121211010
413331302333110
5233202441043
621132212220
73211631265
oct775627724
9308417733
10133640148
1169488904
123890a070
13218c1615
1413a6a96c
15baec133
hex7f72fd4

133640148 has 48 divisors (see below), whose sum is σ = 330048320. Its totient is φ = 41969664.

The previous prime is 133640141. The next prime is 133640159. The reversal of 133640148 is 841046331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133640141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42486 + ... + 45522.

Almost surely, 2133640148 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 133640148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165024160).

133640148 is an abundant number, since it is smaller than the sum of its proper divisors (196408172).

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

133640148 is a wasteful number, since it uses less digits than its factorization.

133640148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 133640148 is about 11560.2832145238. The cubic root of 133640148 is about 511.2645130315.

Adding to 133640148 its reverse (841046331), we get a palindrome (974686479).

The spelling of 133640148 in words is "one hundred thirty-three million, six hundred forty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 193 228 386 579 772 1158 2316 3037 3667 6074 7334 9111 11001 12148 14668 18222 22002 36444 44004 57703 115406 173109 230812 346218 586141 692436 1172282 1758423 2344564 3516846 7033692 11136679 22273358 33410037 44546716 66820074 133640148