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133021056 = 2737174171
BaseRepresentation
bin1111110110110…
…11110110000000
3100021022011120210
413323123312000
5233023133211
621111034120
73203442330
oct773336600
9307264523
10133021056
11690a5763
123866b940
13217358ac
14139490c0
15ba289a6
hex7edbd80

133021056 has 256 divisors, whose sum is σ = 444165120. Its totient is φ = 34406400.

The previous prime is 133021051. The next prime is 133021067. The reversal of 133021056 is 650120331.

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

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133021051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1873501 + ... + 1873571.

It is an arithmetic number, because the mean of its divisors is an integer number (1735020).

Almost surely, 2133021056 is an apocalyptic number.

133021056 is a gapful number since it is divisible by the number (16) 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 133021056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222082560).

133021056 is an abundant number, since it is smaller than the sum of its proper divisors (311144064).

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

133021056 is a wasteful number, since it uses less digits than its factorization.

133021056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 133021056 is about 11533.4754519182. The cubic root of 133021056 is about 510.4738080453.

133021056 divided by its sum of digits (21) gives a palindrome (6334336).

Adding to 133021056 its reverse (650120331), we get a palindrome (783141387).

The spelling of 133021056 in words is "one hundred thirty-three million, twenty-one thousand, fifty-six".