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134364528 = 24332313523
BaseRepresentation
bin10000000001000…
…11110101110000
3100100211102111000
420000203311300
5233344131103
621155522000
73221036214
oct1000436560
9310742430
10134364528
1169933071
1238bb9300
1321ab624c
1413bb8944
15bbe1aa3
hex8023d70

134364528 has 80 divisors (see below), whose sum is σ = 402474240. Its totient is φ = 42837696.

The previous prime is 134364499. The next prime is 134364539. The reversal of 134364528 is 825463431.

134364528 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 645 + 2 + 8 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 134364492 and 134364501.

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, 3175 + ... + 16697.

It is an arithmetic number, because the mean of its divisors is an integer number (5030928).

Almost surely, 2134364528 is an apocalyptic number.

134364528 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 134364528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201237120).

134364528 is an abundant number, since it is smaller than the sum of its proper divisors (268109712).

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

134364528 is a wasteful number, since it uses less digits than its factorization.

134364528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13563 (or 13551 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 134364528 is about 11591.5714206487. The cubic root of 134364528 is about 512.1865978392.

The spelling of 134364528 in words is "one hundred thirty-four million, three hundred sixty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4968 9936 13523 27046 40569 54092 81138 108184 121707 162276 216368 243414 311029 324552 365121 486828 622058 649104 730242 933087 973656 1244116 1460484 1866174 1947312 2488232 2799261 2920968 3732348 4976464 5598522 5841936 7464696 8397783 11197044 14929392 16795566 22394088 33591132 44788176 67182264 134364528