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134529840 = 243251729379
BaseRepresentation
bin10000000010011…
…00001100110000
3100101010211020200
420001030030300
5233414423330
621203235200
73222325164
oct1001141460
9311124220
10134529840
1169a36295
1239078b00
1321b43573
1413c1cca4
15bc25a60
hex804c330

134529840 has 240 divisors, whose sum is σ = 496173600. Its totient is φ = 32514048.

The previous prime is 134529833. The next prime is 134529841. The reversal of 134529840 is 48925431.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 134529795 and 134529804.

It is not an unprimeable number, because it can be changed into a prime (134529841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354771 + ... + 355149.

It is an arithmetic number, because the mean of its divisors is an integer number (2067390).

Almost surely, 2134529840 is an apocalyptic number.

134529840 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 134529840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248086800).

134529840 is an abundant number, since it is smaller than the sum of its proper divisors (361643760).

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

134529840 is a wasteful number, since it uses less digits than its factorization.

134529840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 134529840 is about 11598.6999271470. The cubic root of 134529840 is about 512.3965636978.

The spelling of 134529840 in words is "one hundred thirty-four million, five hundred twenty-nine thousand, eight hundred forty".