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134976 = 2631937
BaseRepresentation
bin100000111101000000
320212011010
4200331000
513304401
62520520
71101342
oct407500
9225133
10134976
1192456
1266140
134958a
1437292
1529ed6
hex20f40

134976 has 56 divisors (see below), whose sum is σ = 386080. Its totient is φ = 41472.

The previous prime is 134951. The next prime is 134989. The reversal of 134976 is 679431.

It is a happy number.

It is a d-powerful number, because it can be written as 1 + 310 + 95 + 43 + 75 + 6 .

It is a congruent number.

It is an unprimeable number.

134976 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3630 + ... + 3666.

2134976 is an apocalyptic number.

134976 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 134976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193040).

134976 is an abundant number, since it is smaller than the sum of its proper divisors (251104).

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

134976 is a wasteful number, since it uses less digits than its factorization.

134976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 61 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 134976 is about 367.3908001026. The cubic root of 134976 is about 51.2962382629.

The spelling of 134976 in words is "one hundred thirty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 37 38 48 57 64 74 76 96 111 114 148 152 192 222 228 296 304 444 456 592 608 703 888 912 1184 1216 1406 1776 1824 2109 2368 2812 3552 3648 4218 5624 7104 8436 11248 16872 22496 33744 44992 67488 134976