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134623728 = 24332811109
BaseRepresentation
bin10000000011000…
…11000111110000
3100101022121001000
420001203013300
5233430424403
621205242000
73223166001
oct1001430760
9311277030
10134623728
1169a9a888
1239103300
1321b77215
1413c451a8
15bc437a3
hex80631f0

134623728 has 80 divisors (see below), whose sum is σ = 388144800. Its totient is φ = 44674560.

The previous prime is 134623673. The next prime is 134623733. The reversal of 134623728 is 827326431.

It is a happy number.

134623728 is a `hidden beast` number, since 1 + 3 + 4 + 623 + 7 + 28 = 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 = 134623692 and 134623701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120838 + ... + 121946.

It is an arithmetic number, because the mean of its divisors is an integer number (4851810).

Almost surely, 2134623728 is an apocalyptic number.

134623728 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 134623728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194072400).

134623728 is an abundant number, since it is smaller than the sum of its proper divisors (253521072).

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

134623728 is a wasteful number, since it uses less digits than its factorization.

134623728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1395 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 134623728 is about 11602.7465713942. The cubic root of 134623728 is about 512.5157360229.

The spelling of 134623728 in words is "one hundred thirty-four million, six hundred twenty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 281 432 562 843 1109 1124 1686 2218 2248 2529 3327 3372 4436 4496 5058 6654 6744 7587 8872 9981 10116 13308 13488 15174 17744 19962 20232 26616 29943 30348 39924 40464 53232 59886 60696 79848 119772 121392 159696 239544 311629 479088 623258 934887 1246516 1869774 2493032 2804661 3739548 4986064 5609322 7479096 8413983 11218644 14958192 16827966 22437288 33655932 44874576 67311864 134623728