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134400000 = 2113557
BaseRepresentation
bin10000000001011…
…00100000000000
3100100220020010210
420000230200000
5233401300000
621200354120
73221244510
oct1000544000
9310806123
10134400000
1169957789
1239015940
1321ac9437
1413bc7840
15bbec350
hex802c800

134400000 has 288 divisors, whose sum is σ = 511842240. Its totient is φ = 30720000.

The previous prime is 134399959. The next prime is 134400001. The reversal of 134400000 is 4431.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134400001) 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 23 ways as a sum of consecutive naturals, for example, 19199997 + ... + 19200003.

It is an arithmetic number, because the mean of its divisors is an integer number (1777230).

Almost surely, 2134400000 is an apocalyptic number.

134400000 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 134400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255921120).

134400000 is an abundant number, since it is smaller than the sum of its proper divisors (377442240).

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

134400000 is an frugal number, since it uses more digits than its factorization.

134400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 134400000 is about 11593.1013969516. The cubic root of 134400000 is about 512.2316659950.

Adding to 134400000 its reverse (4431), we get a palindrome (134404431).

The spelling of 134400000 in words is "one hundred thirty-four million, four hundred thousand".