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134507136 = 273379467
BaseRepresentation
bin10000000010001…
…10101010000000
3100101002200002210
420001012222000
5233413212021
621202542120
73222202041
oct1001065200
9311080083
10134507136
1169a20225
1239067940
1321b3612a
1413c148c8
15bc1de76
hex8046a80

134507136 has 64 divisors (see below), whose sum is σ = 366979680. Its totient is φ = 43619328.

The previous prime is 134507129. The next prime is 134507141. The reversal of 134507136 is 631705431.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9475 + ... + 18941.

Almost surely, 2134507136 is an apocalyptic number.

134507136 is a gapful number since it is divisible by the number (16) 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 134507136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183489840).

134507136 is an abundant number, since it is smaller than the sum of its proper divisors (232472544).

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

134507136 is an equidigital number, since it uses as much as digits as its factorization.

134507136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9521 (or 9509 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 134507136 is about 11597.7211554684. The cubic root of 134507136 is about 512.3677371166.

The spelling of 134507136 in words is "one hundred thirty-four million, five hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3552 4736 7104 9467 14208 18934 28401 37868 56802 75736 113604 151472 227208 302944 350279 454416 605888 700558 908832 1050837 1211776 1401116 1817664 2101674 2802232 3635328 4203348 5604464 8406696 11208928 16813392 22417856 33626784 44835712 67253568 134507136