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134500608 = 2833112961
BaseRepresentation
bin10000000010001…
…01000100000000
3100101002100011000
420001011010000
5233413004413
621202452000
73222144024
oct1001050400
9311070130
10134500608
1169a16330
1239064000
1321b33178
1413c12384
15bc1c073
hex8045100

134500608 has 288 divisors, whose sum is σ = 456220800. Its totient is φ = 38707200.

The previous prime is 134500607. The next prime is 134500621. The reversal of 134500608 is 806005431.

134500608 is a `hidden beast` number, since 1 + 3 + 4 + 50 + 0 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134500607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2204898 + ... + 2204958.

It is an arithmetic number, because the mean of its divisors is an integer number (1584100).

Almost surely, 2134500608 is an apocalyptic number.

134500608 is a gapful number since it is divisible by the number (18) 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 134500608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228110400).

134500608 is an abundant number, since it is smaller than the sum of its proper divisors (321720192).

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

134500608 is a wasteful number, since it uses less digits than its factorization.

134500608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 134500608 is about 11597.4397174549. The cubic root of 134500608 is about 512.3594481123.

The spelling of 134500608 in words is "one hundred thirty-four million, five hundred thousand, six hundred eight".