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134922240 = 21433561
BaseRepresentation
bin10000000101011…
…00000000000000
3100101212202112000
420002230000000
5234020002430
621215504000
73225551205
oct1002540000
9311782460
10134922240
116a184092
1239228000
1321c5005b
1413cc1cac
15bca1e60
hex80ac000

134922240 has 240 divisors, whose sum is σ = 487572960. Its totient is φ = 35389440.

The previous prime is 134922233. The next prime is 134922241. The reversal of 134922240 is 42229431.

It is a tau number, because it is divible by the number of its divisors (240).

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 (134922241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2211810 + ... + 2211870.

It is an arithmetic number, because the mean of its divisors is an integer number (2031554).

Almost surely, 2134922240 is an apocalyptic number.

134922240 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 134922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243786480).

134922240 is an abundant number, since it is smaller than the sum of its proper divisors (352650720).

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

134922240 is an frugal number, since it uses more digits than its factorization.

134922240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 134922240 is about 11615.6032990112. The cubic root of 134922240 is about 512.8942704715.

The spelling of 134922240 in words is "one hundred thirty-four million, nine hundred twenty-two thousand, two hundred forty".