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133031435152 = 24721119078089
BaseRepresentation
bin111101111100101001…
…0101001101110010000
3110201101012010002212211
41323321102221232100
54134422021411102
6141040325201504
712416433353500
oct1737122515620
9421335102784
10133031435152
1151466860240
1221947b60294
13c710c44345
14661dd35a00
1536d90667d7
hex1ef94a9b90

133031435152 has 120 divisors (see below), whose sum is σ = 327299006880. Its totient is φ = 51796846080.

The previous prime is 133031435123. The next prime is 133031435179. The reversal of 133031435152 is 251534130331.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16441924 + ... + 16450012.

It is an arithmetic number, because the mean of its divisors is an integer number (2727491724).

Almost surely, 2133031435152 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 133031435152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163649503440).

133031435152 is an abundant number, since it is smaller than the sum of its proper divisors (194267571728).

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

133031435152 is a wasteful number, since it uses less digits than its factorization.

133031435152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10029 (or 10016 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

Adding to 133031435152 its reverse (251534130331), we get a palindrome (384565565483).

The spelling of 133031435152 in words is "one hundred thirty-three billion, thirty-one million, four hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 392 539 616 784 1078 1232 1907 2156 3814 4312 7628 8089 8624 13349 15256 16178 20977 26698 30512 32356 41954 53396 56623 64712 83908 88979 93443 106792 113246 129424 146839 167816 177958 186886 213584 226492 293678 335632 355916 373772 396361 452984 587356 622853 711832 747544 792722 905968 1027873 1174712 1245706 1423664 1495088 1585444 2055746 2349424 2491412 3170888 4111492 4359971 4982824 6341776 8222984 8719942 9965648 15425723 16445968 17439884 30851446 34879768 61702892 69759536 107980061 123405784 169682953 215960122 246811568 339365906 431920244 678731812 755860427 863840488 1187780671 1357463624 1511720854 1727680976 2375561342 2714927248 3023441708 4751122684 6046883416 8314464697 9502245368 12093766832 16628929394 19004490736 33257858788 66515717576 133031435152