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136018944 = 2103214759
BaseRepresentation
bin10000001101101…
…11110000000000
3100110221110220200
420012313300000
5234310101234
621255205200
73241066455
oct1006676000
9313843820
10136018944
116a863056
1239676800
13222452a9
14140c982c
15be1bd99
hex81b7c00

136018944 has 66 divisors (see below), whose sum is σ = 392778360. Its totient is φ = 45336576.

The previous prime is 136018879. The next prime is 136018951. The reversal of 136018944 is 449810631.

136018944 is a `hidden beast` number, since 1 + 3 + 601 + 8 + 9 + 44 = 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 = 136018899 and 136018908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1837 + ... + 16595.

Almost surely, 2136018944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136018944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196389180).

136018944 is an abundant number, since it is smaller than the sum of its proper divisors (256759416).

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

136018944 is a wasteful number, since it uses less digits than its factorization.

136018944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14785 (or 14764 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 136018944 is about 11662.7159787075. The cubic root of 136018944 is about 514.2801946498.

The spelling of 136018944 in words is "one hundred thirty-six million, eighteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 14759 29518 44277 59036 88554 118072 132831 177108 236144 265662 354216 472288 531324 708432 944576 1062648 1416864 1889152 2125296 2833728 3778304 4250592 5667456 7556608 8501184 11334912 15113216 17002368 22669824 34004736 45339648 68009472 136018944