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133127028160 = 2657537315361
BaseRepresentation
bin111101111111011111…
…1010011110111000000
3110201121211222201211121
41323332333103313000
54140121004400120
6141054022122024
712422004032350
oct1737677236700
9421554881747
10133127028160
1151505811725
1221973b80314
13c7279a3c59
14662c8dab60
1536e264a5aa
hex1efefd3dc0

133127028160 has 224 divisors, whose sum is σ = 374212420992. Its totient is φ = 44166021120.

The previous prime is 133127028143. The next prime is 133127028163. The reversal of 133127028160 is 61820721331.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×1331270281603 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133127028163) 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, 8658880 + ... + 8674240.

Almost surely, 2133127028160 is an apocalyptic number.

133127028160 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 133127028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187106210496).

133127028160 is an abundant number, since it is smaller than the sum of its proper divisors (241085392832).

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

133127028160 is a wasteful number, since it uses less digits than its factorization.

133127028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15511 (or 15501 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

Adding to 133127028160 its reverse (61820721331), we get a palindrome (194947749491).

The spelling of 133127028160 in words is "one hundred thirty-three billion, one hundred twenty-seven million, twenty-eight thousand, one hundred sixty".