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134031744 = 27327111511
BaseRepresentation
bin1111111110100…
…10100110000000
3100100012111222200
413333102212000
5233303003434
621144433200
73215152050
oct777224600
9310174880
10134031744
1169726040
1238a78800
13219ca932
1413b2d560
15bb78199
hex7fd2980

134031744 has 192 divisors, whose sum is σ = 481178880. Its totient is φ = 34790400.

The previous prime is 134031739. The next prime is 134031761. The reversal of 134031744 is 447130431.

134031744 is a `hidden beast` number, since 1 + 340 + 317 + 4 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87949 + ... + 89459.

It is an arithmetic number, because the mean of its divisors is an integer number (2506140).

Almost surely, 2134031744 is an apocalyptic number.

134031744 is a gapful number since it is divisible by the number (14) 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 134031744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240589440).

134031744 is an abundant number, since it is smaller than the sum of its proper divisors (347147136).

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

134031744 is a wasteful number, since it uses less digits than its factorization.

134031744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 134031744 is about 11577.2079535612. The cubic root of 134031744 is about 511.7633997962.

The spelling of 134031744 in words is "one hundred thirty-four million, thirty-one thousand, seven hundred forty-four".