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134166240 = 25335132389
BaseRepresentation
bin1111111111100…
…11011011100000
3100100110100111000
413333303123200
5233321304430
621151352000
73216252135
oct777633340
9310410430
10134166240
116980809a
1238b22600
1321a46c10
1413b6658c
15bba2e60
hex7ff36e0

134166240 has 192 divisors, whose sum is σ = 505915200. Its totient is φ = 33011712.

The previous prime is 134166211. The next prime is 134166251. The reversal of 134166240 is 42661431.

134166240 is a `hidden beast` number, since 1 + 3 + 416 + 6 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 54966 + ... + 57354.

It is an arithmetic number, because the mean of its divisors is an integer number (2634975).

Almost surely, 2134166240 is an apocalyptic number.

134166240 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 134166240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252957600).

134166240 is an abundant number, since it is smaller than the sum of its proper divisors (371748960).

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

134166240 is a wasteful number, since it uses less digits than its factorization.

134166240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 134166240 is about 11583.0151515052. The cubic root of 134166240 is about 511.9345212488.

The spelling of 134166240 in words is "one hundred thirty-four million, one hundred sixty-six thousand, two hundred forty".