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134225505000 = 2334543110691
BaseRepresentation
bin111110100000001110…
…1101010101011101000
3110211110101222010210000
41331000131222223220
54144343212130000
6141355022223000
712461142652626
oct1750035525350
9424411863700
10134225505000
1151a19886624
122201ba24a60
13c871440552
1466d4760516
153758cd0000
hex1f4076aae8

134225505000 has 400 divisors, whose sum is σ = 484994252160. Its totient is φ = 34635600000.

The previous prime is 134225504999. The next prime is 134225505079. The reversal of 134225505000 is 505522431.

It is a happy number.

134225505000 is a `hidden beast` number, since 134 + 2 + 25 + 5 + 0 + 500 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 12549655 + ... + 12560345.

Almost surely, 2134225505000 is an apocalyptic number.

134225505000 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 134225505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242497126080).

134225505000 is an abundant number, since it is smaller than the sum of its proper divisors (350768747160).

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

134225505000 is a wasteful number, since it uses less digits than its factorization.

134225505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10760 (or 10732 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 134225505000 in words is "one hundred thirty-four billion, two hundred twenty-five million, five hundred five thousand".