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133856064 = 263619151
BaseRepresentation
bin1111111101001…
…11101101000000
3100022212121000000
413332213231000
5233231343224
621141000000
73213520626
oct776475500
9308777000
10133856064
1169616051
12389b3000
1321968994
1413ac5516
15bb410c9
hex7fa7b40

133856064 has 196 divisors, whose sum is σ = 421985440. Its totient is φ = 41990400.

The previous prime is 133856057. The next prime is 133856117. The reversal of 133856064 is 460658331.

133856064 is a `hidden beast` number, since 1 + 3 + 38 + 560 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 886389 + ... + 886539.

Almost surely, 2133856064 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 133856064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210992720).

133856064 is an abundant number, since it is smaller than the sum of its proper divisors (288129376).

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

133856064 is an equidigital number, since it uses as much as digits as its factorization.

133856064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 133856064 is about 11569.6181440876. The cubic root of 133856064 is about 511.5397067584.

The spelling of 133856064 in words is "one hundred thirty-three million, eight hundred fifty-six thousand, sixty-four".