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133194864 = 243112171971
BaseRepresentation
bin1111111000001…
…10010001110000
3100021122000000010
413330012101300
5233044213424
621114454520
73205065135
oct774062160
9307560003
10133194864
1169204300
1238734440
1321796a3a
141399258c
15ba60229
hex7f06470

133194864 has 240 divisors, whose sum is σ = 427472640. Its totient is φ = 35481600.

The previous prime is 133194833. The next prime is 133194877. The reversal of 133194864 is 468491331.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1875949 + ... + 1876019.

It is an arithmetic number, because the mean of its divisors is an integer number (1781136).

Almost surely, 2133194864 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 133194864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213736320).

133194864 is an abundant number, since it is smaller than the sum of its proper divisors (294277776).

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

133194864 is a wasteful number, since it uses less digits than its factorization.

133194864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 123 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 133194864 is about 11541.0079282531. The cubic root of 133194864 is about 510.6960430790.

The spelling of 133194864 in words is "one hundred thirty-three million, one hundred ninety-four thousand, eight hundred sixty-four".