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134153712 = 243371137109
BaseRepresentation
bin1111111111100…
…00010111110000
3100100102201022000
413333300113300
5233320404322
621151214000
73216200460
oct777602760
9310381260
10134153712
11697a9740
1238b17300
1321a412c4
1413b61ba0
15bb9e3ac
hex7ff05f0

134153712 has 320 divisors, whose sum is σ = 497587200. Its totient is φ = 33592320.

The previous prime is 134153707. The next prime is 134153717. The reversal of 134153712 is 217351431.

134153712 is a nontrivial binomial coefficient, being equal to C(112, 5).

It is an interprime number because it is at equal distance from previous prime (134153707) and next prime (134153717).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134153717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1230714 + ... + 1230822.

It is an arithmetic number, because the mean of its divisors is an integer number (1554960).

Almost surely, 2134153712 is an apocalyptic number.

134153712 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 134153712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248793600).

134153712 is an abundant number, since it is smaller than the sum of its proper divisors (363433488).

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

134153712 is a wasteful number, since it uses less digits than its factorization.

134153712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 169 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 134153712 is about 11582.4743470469. The cubic root of 134153712 is about 511.9185865017.

The spelling of 134153712 in words is "one hundred thirty-four million, one hundred fifty-three thousand, seven hundred twelve".