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134117760 = 2735717587
BaseRepresentation
bin1111111111001…
…11100110000000
3100100100212222110
413333213212000
5233313232020
621150335320
73215660610
oct777474600
9310325873
10134117760
1169784727
1238aba540
1321a2ab2a
1413b52a40
15bb938e0
hex7fe7980

134117760 has 256 divisors, whose sum is σ = 518192640. Its totient is φ = 28803072.

The previous prime is 134117741. The next prime is 134117783. The reversal of 134117760 is 67711431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

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, 228187 + ... + 228773.

It is an arithmetic number, because the mean of its divisors is an integer number (2024190).

Almost surely, 2134117760 is an apocalyptic number.

134117760 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 134117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259096320).

134117760 is an abundant number, since it is smaller than the sum of its proper divisors (384074880).

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

134117760 is a wasteful number, since it uses less digits than its factorization.

134117760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 134117760 is about 11580.9222430686. The cubic root of 134117760 is about 511.8728525420.

The spelling of 134117760 in words is "one hundred thirty-four million, one hundred seventeen thousand, seven hundred sixty".