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134132200000 = 2655809829
BaseRepresentation
bin111110011101011100…
…1101111001001000000
3110211012220101202101021
41330322321233021000
54144200320400000
6141341450315224
712455630613451
oct1747271571100
9424186352337
10134132200000
1151981148157
1221bb4728b14
13c8580021a6
1466c61d3128
1537509ee11a
hex1f3ae6f240

134132200000 has 168 divisors, whose sum is σ = 333502482600. Its totient is φ = 53521920000.

The previous prime is 134132199989. The next prime is 134132200039. The reversal of 134132200000 is 2231431.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 123021353536 + 11110846464 = 350744^2 + 105408^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161799586 + ... + 161800414.

It is an arithmetic number, because the mean of its divisors is an integer number (1985133825).

Almost surely, 2134132200000 is an apocalyptic number.

134132200000 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 134132200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166751241300).

134132200000 is an abundant number, since it is smaller than the sum of its proper divisors (199370282600).

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

134132200000 is an frugal number, since it uses more digits than its factorization.

134132200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 134132200000 its reverse (2231431), we get a palindrome (134134431431).

The spelling of 134132200000 in words is "one hundred thirty-four billion, one hundred thirty-two million, two hundred thousand".