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134390880 = 25335132393
BaseRepresentation
bin10000000001010…
…10010001100000
3100100212202122000
420000222101200
5233401002010
621200244000
73221206101
oct1000522140
9310782560
10134390880
1169950948
1239010600
1321ac5240
1413bc43a8
15bbe97c0
hex802a460

134390880 has 192 divisors, whose sum is σ = 506761920. Its totient is φ = 33067008.

The previous prime is 134390833. The next prime is 134390887. The reversal of 134390880 is 88093431.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134390887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54964 + ... + 57356.

It is an arithmetic number, because the mean of its divisors is an integer number (2639385).

Almost surely, 2134390880 is an apocalyptic number.

134390880 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 134390880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253380960).

134390880 is an abundant number, since it is smaller than the sum of its proper divisors (372371040).

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

134390880 is a wasteful number, since it uses less digits than its factorization.

134390880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 134390880 is about 11592.7080529098. The cubic root of 134390880 is about 512.2200795405.

The spelling of 134390880 in words is "one hundred thirty-four million, three hundred ninety thousand, eight hundred eighty".