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133160128 = 2631411637
BaseRepresentation
bin1111110111111…
…01110011000000
3100021120020100121
413323331303000
5233042111003
621114030024
73204561643
oct773756300
9307506317
10133160128
11691901a2
1238718314
1321783c9a
1413983a5a
15ba54cbd
hex7efdcc0

133160128 has 56 divisors (see below), whose sum is σ = 279586944. Its totient is φ = 62822400.

The previous prime is 133160119. The next prime is 133160143. The reversal of 133160128 is 821061331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80526 + ... + 82162.

It is an arithmetic number, because the mean of its divisors is an integer number (4992624).

Almost surely, 2133160128 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 133160128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139793472).

133160128 is an abundant number, since it is smaller than the sum of its proper divisors (146426816).

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

133160128 is a wasteful number, since it uses less digits than its factorization.

133160128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 133160128 is about 11539.5029355688. The cubic root of 133160128 is about 510.6516442698.

The spelling of 133160128 in words is "one hundred thirty-three million, one hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 124 164 248 328 496 656 992 1271 1312 1637 1984 2542 2624 3274 5084 6548 10168 13096 20336 26192 40672 50747 52384 67117 81344 101494 104768 134234 202988 268468 405976 536936 811952 1073872 1623904 2080627 2147744 3247808 4161254 4295488 8322508 16645016 33290032 66580064 133160128