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136400000 = 27551131
BaseRepresentation
bin10000010000101…
…00110010000000
3100111122211121212
420020110302000
5234404300000
621311305252
73244244432
oct1010246200
9314584555
10136400000
116aaa3380
123981b228
1322349879
1414188652
15be94c35
hex8214c80

136400000 has 192 divisors, whose sum is σ = 382475520. Its totient is φ = 48000000.

The previous prime is 136399981. The next prime is 136400023. The reversal of 136400000 is 4631.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4399985 + ... + 4400015.

It is an arithmetic number, because the mean of its divisors is an integer number (1992060).

Almost surely, 2136400000 is an apocalyptic number.

136400000 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 136400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191237760).

136400000 is an abundant number, since it is smaller than the sum of its proper divisors (246075520).

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

136400000 is an frugal number, since it uses more digits than its factorization.

136400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 136400000 is about 11679.0410565251. The cubic root of 136400000 is about 514.7599975115.

Adding to 136400000 its reverse (4631), we get a palindrome (136404631).

The spelling of 136400000 in words is "one hundred thirty-six million, four hundred thousand".