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135494624 = 25171913109
BaseRepresentation
bin10000001001101…
…11101111100000
3100102221211200102
420010313233200
5234141311444
621240041532
73233454026
oct1004675740
9312854612
10135494624
116a535131
12394632a8
13220c0745
1413dd0716
15bd6684e
hex8137be0

135494624 has 48 divisors (see below), whose sum is σ = 297334800. Its totient is φ = 60401664.

The previous prime is 135494551. The next prime is 135494687. The reversal of 135494624 is 426494531.

135494624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×1354946244 (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3782 + ... + 16890.

It is an arithmetic number, because the mean of its divisors is an integer number (6194475).

Almost surely, 2135494624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135494624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148667400).

135494624 is an abundant number, since it is smaller than the sum of its proper divisors (161840176).

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

135494624 is a wasteful number, since it uses less digits than its factorization.

135494624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13155 (or 13147 counting only the distinct ones).

The product of its digits is 103680, while the sum is 38.

The square root of 135494624 is about 11640.2158055596. The cubic root of 135494624 is about 513.6185353184.

The spelling of 135494624 in words is "one hundred thirty-five million, four hundred ninety-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 544 608 646 1292 2584 5168 10336 13109 26218 52436 104872 209744 222853 249071 419488 445706 498142 891412 996284 1782824 1992568 3565648 3985136 4234207 7131296 7970272 8468414 16936828 33873656 67747312 135494624