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134412000 = 2535323487
BaseRepresentation
bin10000000001011…
…11011011100000
3100100220211121020
420000233123200
5233402141000
621200525440
73221324502
oct1000573340
9310824536
10134412000
11699657a8
1239020880
1321b01a38
1413bcbd72
15bc00ba0
hex802f6e0

134412000 has 192 divisors, whose sum is σ = 460422144. Its totient is φ = 34214400.

The previous prime is 134411993. The next prime is 134412007. The reversal of 134412000 is 214431.

It is an interprime number because it is at equal distance from previous prime (134411993) and next prime (134412007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134412007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 275757 + ... + 276243.

It is an arithmetic number, because the mean of its divisors is an integer number (2398032).

Almost surely, 2134412000 is an apocalyptic number.

134412000 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 134412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230211072).

134412000 is an abundant number, since it is smaller than the sum of its proper divisors (326010144).

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

134412000 is a wasteful number, since it uses less digits than its factorization.

134412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 134412000 is about 11593.6189345691. The cubic root of 134412000 is about 512.2469105314.

Adding to 134412000 its reverse (214431), we get a palindrome (134626431).

The spelling of 134412000 in words is "one hundred thirty-four million, four hundred twelve thousand".