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134741376 = 2732731131
BaseRepresentation
bin10000000011111…
…11110110000000
3100101112120102100
420001333312000
5233443211001
621211550400
73224166000
oct1001776600
9311476370
10134741376
116a070210
123915b400
1321bb8933
1413c76000
15bc68586
hex807fd80

134741376 has 384 divisors, whose sum is σ = 509184000. Its totient is φ = 33868800.

The previous prime is 134741363. The next prime is 134741381. The reversal of 134741376 is 673147431.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (42336) is a multiple of the sum of its prime divisors (54).

It is a self number, because there is not a number n which added to its sum of digits gives 134741376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4346481 + ... + 4346511.

It is an arithmetic number, because the mean of its divisors is an integer number (1326000).

Almost surely, 2134741376 is an apocalyptic number.

134741376 is a gapful number since it is divisible by the number (16) 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 134741376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254592000).

134741376 is an abundant number, since it is smaller than the sum of its proper divisors (374442624).

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

134741376 is a wasteful number, since it uses less digits than its factorization.

134741376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 54 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 134741376 is about 11607.8152983238. The cubic root of 134741376 is about 512.6649887991.

The spelling of 134741376 in words is "one hundred thirty-four million, seven hundred forty-one thousand, three hundred seventy-six".