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133523040 = 253573811
BaseRepresentation
bin1111111010101…
…10011001100000
3100022020200011210
413331112121200
5233140214130
621125510120
73210633000
oct775263140
9308220153
10133523040
1169408922
1238872340
1321880221
1413a3a000
15bac75b0
hex7f56660

133523040 has 192 divisors, whose sum is σ = 491097600. Its totient is φ = 30481920.

The previous prime is 133523021. The next prime is 133523057. The reversal of 133523040 is 40325331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 133522998 and 133523016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164235 + ... + 165045.

It is an arithmetic number, because the mean of its divisors is an integer number (2557800).

Almost surely, 2133523040 is an apocalyptic number.

133523040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133523040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245548800).

133523040 is an abundant number, since it is smaller than the sum of its proper divisors (357574560).

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

133523040 is an equidigital number, since it uses as much as digits as its factorization.

133523040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 133523040 is about 11555.2170035876. The cubic root of 133523040 is about 511.1151301231.

Adding to 133523040 its reverse (40325331), we get a palindrome (173848371).

The spelling of 133523040 in words is "one hundred thirty-three million, five hundred twenty-three thousand, forty".