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134315520 = 293517489
BaseRepresentation
bin10000000000101…
…11111000000000
3100100201221020220
420000113320000
5233341044040
621154503040
73220443303
oct1000277000
9310657226
10134315520
11698aa269
1238b94a80
1321a99b51
1413ba4b3a
15bbd22d0
hex8017e00

134315520 has 80 divisors (see below), whose sum is σ = 429414480. Its totient is φ = 35815424.

The previous prime is 134315477. The next prime is 134315527. The reversal of 134315520 is 25513431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134315527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1065 + ... + 16424.

It is an arithmetic number, because the mean of its divisors is an integer number (5367681).

Almost surely, 2134315520 is an apocalyptic number.

134315520 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 134315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214707240).

134315520 is an abundant number, since it is smaller than the sum of its proper divisors (295098960).

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

134315520 is an equidigital number, since it uses as much as digits as its factorization.

134315520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17515 (or 17499 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 134315520 is about 11589.4572780610. The cubic root of 134315520 is about 512.1243187700.

Adding to 134315520 its reverse (25513431), we get a palindrome (159828951).

The spelling of 134315520 in words is "one hundred thirty-four million, three hundred fifteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 17489 34978 52467 69956 87445 104934 139912 174890 209868 262335 279824 349780 419736 524670 559648 699560 839472 1049340 1119296 1399120 1678944 2098680 2238592 2798240 3357888 4197360 4477184 5596480 6715776 8394720 8954368 11192960 13431552 16789440 22385920 26863104 33578880 44771840 67157760 134315520