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134561628 = 22331319511
BaseRepresentation
bin10000000010100…
…11111101011100
3100101012102212000
420001103331130
5233421433003
621204042300
73222516645
oct1001237534
9311172760
10134561628
1169a58163
1239093390
1321b54b86
1413c2a6cc
15bc301a3
hex8053f5c

134561628 has 48 divisors (see below), whose sum is σ = 351563520. Its totient is φ = 44506800.

The previous prime is 134561621. The next prime is 134561657. The reversal of 134561628 is 826165431.

It is a happy number.

134561628 is a `hidden beast` number, since 1 + 34 + 5 + 616 + 2 + 8 = 666.

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 = 134561592 and 134561601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134561621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9393 + ... + 18903.

It is an arithmetic number, because the mean of its divisors is an integer number (7324240).

Almost surely, 2134561628 is an apocalyptic number.

134561628 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 134561628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175781760).

134561628 is an abundant number, since it is smaller than the sum of its proper divisors (217001892).

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

134561628 is a wasteful number, since it uses less digits than its factorization.

134561628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9655 (or 9647 counting only the distinct ones).

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

The square root of 134561628 is about 11600.0701722015. The cubic root of 134561628 is about 512.4369185099.

The spelling of 134561628 in words is "one hundred thirty-four million, five hundred sixty-one thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 131 262 393 524 786 1179 1572 2358 3537 4716 7074 9511 14148 19022 28533 38044 57066 85599 114132 171198 256797 342396 513594 1027188 1245941 2491882 3737823 4983764 7475646 11213469 14951292 22426938 33640407 44853876 67280814 134561628