Search a number
-
+
133710144 = 2631936653
BaseRepresentation
bin1111111100001…
…00000101000000
3100022121011211120
413332010011000
5233212211034
621133512240
73212342331
oct776040500
9308534746
10133710144
1169526457
1238942680
1321917439
1413a88288
15bb12c49
hex7f84140

133710144 has 56 divisors (see below), whose sum is σ = 372404640. Its totient is φ = 42223104.

The previous prime is 133710133. The next prime is 133710167. The reversal of 133710144 is 441017331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14679 + ... + 21974.

Almost surely, 2133710144 is an apocalyptic number.

It is an amenable number.

133710144 is an abundant number, since it is smaller than the sum of its proper divisors (238694496).

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

133710144 is a wasteful number, since it uses less digits than its factorization.

133710144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36687 (or 36677 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 133710144 is about 11563.3102526915. The cubic root of 133710144 is about 511.3537582304.

Adding to 133710144 its reverse (441017331), we get a palindrome (574727475).

The spelling of 133710144 in words is "one hundred thirty-three million, seven hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 36653 73306 109959 146612 219918 293224 439836 586448 696407 879672 1172896 1392814 1759344 2089221 2345792 2785628 3518688 4178442 5571256 7037376 8356884 11142512 16713768 22285024 33427536 44570048 66855072 133710144