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134541000 = 23345311151
BaseRepresentation
bin10000000010011…
…10111011001000
3100101011101120000
420001032323020
5233420303000
621203403000
73222402546
oct1001167310
9311141500
10134541000
1169a43710
1239083460
1321b48679
1413c22d96
15bc29000
hex804eec8

134541000 has 320 divisors, whose sum is σ = 516447360. Its totient is φ = 32400000.

The previous prime is 134540999. The next prime is 134541059. The reversal of 134541000 is 145431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 890925 + ... + 891075.

It is an arithmetic number, because the mean of its divisors is an integer number (1613898).

Almost surely, 2134541000 is an apocalyptic number.

134541000 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 134541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258223680).

134541000 is an abundant number, since it is smaller than the sum of its proper divisors (381906360).

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

134541000 is a wasteful number, since it uses less digits than its factorization.

134541000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 134541000 is about 11599.1810055710. The cubic root of 134541000 is about 512.4107320230.

Adding to 134541000 its reverse (145431), we get a palindrome (134686431).

The spelling of 134541000 in words is "one hundred thirty-four million, five hundred forty-one thousand".