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126133056 = 26327241109
BaseRepresentation
bin1111000010010…
…10001101000000
322210100020000200
413201022031000
5224242224211
620303245200
73061053600
oct741121500
9283306020
10126133056
11652206a5
12362a9800
132019365a
1412a74c00
15b117b56
hex784a340

126133056 has 252 divisors, whose sum is σ = 434774340. Its totient is φ = 34836480.

The previous prime is 126133003. The next prime is 126133069. The reversal of 126133056 is 650331621.

126133056 is a `hidden beast` number, since 12 + 613 + 30 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40755456 + 85377600 = 6384^2 + 9240^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1157130 + ... + 1157238.

It is an arithmetic number, because the mean of its divisors is an integer number (1725295).

Almost surely, 2126133056 is an apocalyptic number.

126133056 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 126133056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217387170).

126133056 is an abundant number, since it is smaller than the sum of its proper divisors (308641284).

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

126133056 is a wasteful number, since it uses less digits than its factorization.

126133056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 126133056 is about 11230.8973817768. The cubic root of 126133056 is about 501.5061995034.

Adding to 126133056 its reverse (650331621), we get a palindrome (776464677).

The spelling of 126133056 in words is "one hundred twenty-six million, one hundred thirty-three thousand, fifty-six".