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134229312 = 26377137
BaseRepresentation
bin10000000000000…
…10110101000000
3100100120120000000
420000002311000
5233330314222
621153000000
73216634050
oct1000026500
9310516000
10134229312
1169850518
1238b53000
1321a69839
1413b81560
15bbb69ac
hex8002d40

134229312 has 224 divisors, whose sum is σ = 459882240. Its totient is φ = 38071296.

The previous prime is 134229283. The next prime is 134229317. The reversal of 134229312 is 213922431.

It is a happy number.

134229312 is a `hidden beast` number, since 1 + 342 + 2 + 9 + 312 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134229317) 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, 979708 + ... + 979844.

Almost surely, 2134229312 is an apocalyptic number.

134229312 is a gapful number since it is divisible by the number (12) 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 134229312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229941120).

134229312 is an abundant number, since it is smaller than the sum of its proper divisors (325652928).

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

134229312 is an frugal number, since it uses more digits than its factorization.

134229312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 149 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 134229312 is about 11585.7374387650. The cubic root of 134229312 is about 512.0147293940.

The spelling of 134229312 in words is "one hundred thirty-four million, two hundred twenty-nine thousand, three hundred twelve".