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134846496 = 25321921297
BaseRepresentation
bin10000000100110…
…01100000100000
3100101201220121200
420002121200200
5234010041441
621214121200
73225114321
oct1002314040
9311656550
10134846496
116a132194
12391b0200
1321c24735
1413ca2448
15bc897b6
hex8099820

134846496 has 108 divisors (see below), whose sum is σ = 405026622. Its totient is φ = 42550272.

The previous prime is 134846483. The next prime is 134846501. The reversal of 134846496 is 694648431.

It can be written as a sum of positive squares in only one way, i.e., 71166096 + 63680400 = 8436^2 + 7980^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 103320 + ... + 104616.

Almost surely, 2134846496 is an apocalyptic number.

134846496 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 134846496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202513311).

134846496 is an abundant number, since it is smaller than the sum of its proper divisors (270180126).

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

134846496 is a wasteful number, since it uses less digits than its factorization.

134846496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1321 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 134846496 is about 11612.3423993611. The cubic root of 134846496 is about 512.7982745960.

The spelling of 134846496 in words is "one hundred thirty-four million, eight hundred forty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 361 456 608 684 722 912 1083 1297 1368 1444 1824 2166 2594 2736 2888 3249 3891 4332 5188 5472 5776 6498 7782 8664 10376 11552 11673 12996 15564 17328 20752 23346 24643 25992 31128 34656 41504 46692 49286 51984 62256 73929 93384 98572 103968 124512 147858 186768 197144 221787 295716 373536 394288 443574 468217 591432 788576 887148 936434 1182864 1404651 1774296 1872868 2365728 2809302 3548592 3745736 4213953 5618604 7097184 7491472 8427906 11237208 14982944 16855812 22474416 33711624 44948832 67423248 134846496