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134388720 = 2435531223
BaseRepresentation
bin10000000001010…
…01101111110000
3100100212122200000
420000221233300
5233400414340
621200230000
73221166564
oct1000515760
9310778600
10134388720
116994a264
123900b300
1321ac426b
1413bc36a4
15bbe8d30
hex8029bf0

134388720 has 240 divisors, whose sum is σ = 485302272. Its totient is φ = 34525440.

The previous prime is 134388713. The next prime is 134388731. The reversal of 134388720 is 27883431.

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 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 47 ways as a sum of consecutive naturals, for example, 602529 + ... + 602751.

Almost surely, 2134388720 is an apocalyptic number.

134388720 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 134388720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242651136).

134388720 is an abundant number, since it is smaller than the sum of its proper divisors (350913552).

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

134388720 is a wasteful number, since it uses less digits than its factorization.

134388720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 134388720 is about 11592.6148905241. The cubic root of 134388720 is about 512.2173353034.

The spelling of 134388720 in words is "one hundred thirty-four million, three hundred eighty-eight thousand, seven hundred twenty".