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134415520 = 2552513347
BaseRepresentation
bin10000000001100…
…00010010100000
3100100221000102121
420000300102200
5233402244040
621200554024
73221340661
oct1000602240
9310830377
10134415520
1169968408
1239022914
1321b03515
1413bcd368
15bc01c4a
hex80304a0

134415520 has 48 divisors (see below), whose sum is σ = 318917088. Its totient is φ = 53536000.

The previous prime is 134415517. The next prime is 134415521. The reversal of 134415520 is 25514431.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (134415521) 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, 38487 + ... + 41833.

It is an arithmetic number, because the mean of its divisors is an integer number (6644106).

Almost surely, 2134415520 is an apocalyptic number.

134415520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134415520 is the 6694-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134415520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159458544).

134415520 is an abundant number, since it is smaller than the sum of its proper divisors (184501568).

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

134415520 is a wasteful number, since it uses less digits than its factorization.

134415520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3613 (or 3605 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 134415520 is about 11593.7707412213. The cubic root of 134415520 is about 512.2513820899.

Adding to 134415520 its reverse (25514431), we get a palindrome (159929951).

The spelling of 134415520 in words is "one hundred thirty-four million, four hundred fifteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 251 502 1004 1255 2008 2510 3347 4016 5020 6694 8032 10040 13388 16735 20080 26776 33470 40160 53552 66940 107104 133880 267760 535520 840097 1680194 3360388 4200485 6720776 8400970 13441552 16801940 26883104 33603880 67207760 134415520