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134598240 = 2533574451
BaseRepresentation
bin10000000010111…
…00111001100000
3100101021022002000
420001130321200
5233424120430
621204524000
73223031460
oct1001347140
9311238060
10134598240
1169a82717
12390b0600
1321b6873a
1413c39ba0
15bc3ae60
hex805ce60

134598240 has 192 divisors, whose sum is σ = 538513920. Its totient is φ = 30758400.

The previous prime is 134598209. The next prime is 134598257. The reversal of 134598240 is 42895431.

It is a super-2 number, since 2×1345982402 = 36233372422195200, which contains 22 as substring.

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 = 134598195 and 134598204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28015 + ... + 32465.

It is an arithmetic number, because the mean of its divisors is an integer number (2804760).

Almost surely, 2134598240 is an apocalyptic number.

134598240 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 134598240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269256960).

134598240 is an abundant number, since it is smaller than the sum of its proper divisors (403915680).

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

134598240 is a wasteful number, since it uses less digits than its factorization.

134598240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4482 (or 4468 counting only the distinct ones).

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

The square root of 134598240 is about 11601.6481587747. The cubic root of 134598240 is about 512.4833895073.

The spelling of 134598240 in words is "one hundred thirty-four million, five hundred ninety-eight thousand, two hundred forty".