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134576640 = 293451159
BaseRepresentation
bin10000000010101…
…11101000000000
3100101020012110000
420001113220000
5233422423030
621204240000
73222611502
oct1001275000
9311205400
10134576640
1169a68470
12390a0000
1321b5b963
1413c31d72
15bc34860
hex8057a00

134576640 has 400 divisors, whose sum is σ = 534742560. Its totient is φ = 32071680.

The previous prime is 134576621. The next prime is 134576653. The reversal of 134576640 is 46675431.

It is a happy number.

134576640 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 7 + 6 + 640 = 666.

It is a super-2 number, since 2×1345766402 = 36221744067379200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 134576595 and 134576604.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2280931 + ... + 2280989.

Almost surely, 2134576640 is an apocalyptic number.

134576640 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 134576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267371280).

134576640 is an abundant number, since it is smaller than the sum of its proper divisors (400165920).

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

134576640 is an equidigital number, since it uses as much as digits as its factorization.

134576640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 134576640 is about 11600.7172192068. The cubic root of 134576640 is about 512.4559740091.

The spelling of 134576640 in words is "one hundred thirty-four million, five hundred seventy-six thousand, six hundred forty".