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134509248 = 2637312
BaseRepresentation
bin10000000010001…
…11001011000000
3100101002210000000
420001013023000
5233413243443
621203000000
73222211146
oct1001071300
9311083000
10134509248
1169a21875
1239069000
1321b37093
1413c15596
15bc1e8d3
hex80472c0

134509248 has 168 divisors, whose sum is σ = 413644080. Its totient is φ = 43390080.

The previous prime is 134509247. The next prime is 134509273. The reversal of 134509248 is 842905431.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is not an unprimeable number, because it can be changed into a prime (134509241) 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, 4338993 + ... + 4339023.

Almost surely, 2134509248 is an apocalyptic number.

134509248 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 134509248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206822040).

134509248 is an abundant number, since it is smaller than the sum of its proper divisors (279134832).

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

134509248 is an frugal number, since it uses more digits than its factorization.

134509248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 134509248 is about 11597.8122074812. The cubic root of 134509248 is about 512.3704187959.

The spelling of 134509248 in words is "one hundred thirty-four million, five hundred nine thousand, two hundred forty-eight".