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134202240 = 27325231013
BaseRepresentation
bin1111111111111…
…00001110000000
3100100112011212100
413333330032000
5233323432430
621152230400
73216462114
oct777741600
9310464770
10134202240
1169832147
1238b3b400
1321a5a413
1413b75744
15bbad960
hex7ffc380

134202240 has 192 divisors, whose sum is σ = 484043040. Its totient is φ = 34197504.

The previous prime is 134202223. The next prime is 134202247. The reversal of 134202240 is 42202431.

134202240 is a `hidden beast` number, since 1 + 3 + 420 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 (134202247) 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, 131974 + ... + 132986.

Almost surely, 2134202240 is an apocalyptic number.

134202240 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 134202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242021520).

134202240 is an abundant number, since it is smaller than the sum of its proper divisors (349840800).

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

134202240 is a wasteful number, since it uses less digits than its factorization.

134202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 134202240 is about 11584.5690467967. The cubic root of 134202240 is about 511.9803052320.

Adding to 134202240 its reverse (42202431), we get a palindrome (176404671).

The spelling of 134202240 in words is "one hundred thirty-four million, two hundred two thousand, two hundred forty".