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134107776 = 27321119557
BaseRepresentation
bin1111111111001…
…01001010000000
3100100100101021200
413333211022000
5233312422101
621150221200
73215616525
oct777451200
9310311250
10134107776
1169778180
1238ab4800
1321a2641a
1413b4d14c
15bb90986
hex7fe5280

134107776 has 192 divisors, whose sum is σ = 443944800. Its totient is φ = 38430720.

The previous prime is 134107763. The next prime is 134107777. The reversal of 134107776 is 677701431.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 134107776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134107777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240490 + ... + 241046.

Almost surely, 2134107776 is an apocalyptic number.

134107776 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 134107776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221972400).

134107776 is an abundant number, since it is smaller than the sum of its proper divisors (309837024).

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

134107776 is a wasteful number, since it uses less digits than its factorization.

134107776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 134107776 is about 11580.4911812928. The cubic root of 134107776 is about 511.8601506066.

The spelling of 134107776 in words is "one hundred thirty-four million, one hundred seven thousand, seven hundred seventy-six".