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133797888 = 2113271761
BaseRepresentation
bin1111111100110…
…01100000000000
3100022202122012100
413332121200000
5233223013023
621135430400
73213156210
oct776314000
9308678170
10133797888
1169586374
1238985400
1321948363
1413aac240
15bb2dc43
hex7f99800

133797888 has 288 divisors, whose sum is σ = 475282080. Its totient is φ = 35389440.

The previous prime is 133797887. The next prime is 133797889. The reversal of 133797888 is 888797331.

It is an interprime number because it is at equal distance from previous prime (133797887) and next prime (133797889).

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133797887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2193378 + ... + 2193438.

It is an arithmetic number, because the mean of its divisors is an integer number (1650285).

Almost surely, 2133797888 is an apocalyptic number.

133797888 is a gapful number since it is divisible by the number (18) 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 133797888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237641040).

133797888 is an abundant number, since it is smaller than the sum of its proper divisors (341484192).

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

133797888 is a wasteful number, since it uses less digits than its factorization.

133797888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 133797888 is about 11567.1036997167. The cubic root of 133797888 is about 511.4655882228.

It can be divided in two parts, 1337 and 97888, that added together give a square (99225 = 3152).

The spelling of 133797888 in words is "one hundred thirty-three million, seven hundred ninety-seven thousand, eight hundred eighty-eight".