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161370144 = 2534134789
BaseRepresentation
bin10011001111001…
…01000000100000
3102020122110020000
421213211000200
5312302321034
624002420000
73666423615
oct1147450040
9366573200
10161370144
11830a8861
1246061600
13275802c0
141760850c
15e278599
hex99e5020

161370144 has 120 divisors (see below), whose sum is σ = 511198380. Its totient is φ = 49641984.

The previous prime is 161370101. The next prime is 161370161. The reversal of 161370144 is 441073161.

It is a happy number.

161370144 is a `hidden beast` number, since 1 + 613 + 7 + 0 + 1 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 130233744 + 31136400 = 11412^2 + 5580^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31302 + ... + 36090.

Almost surely, 2161370144 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 161370144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255599190).

161370144 is an abundant number, since it is smaller than the sum of its proper divisors (349828236).

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

161370144 is a wasteful number, since it uses less digits than its factorization.

161370144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4824 (or 4807 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 161370144 is about 12703.1548837287. The cubic root of 161370144 is about 544.4287637608.

The spelling of 161370144 in words is "one hundred sixty-one million, three hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 4789 5616 8424 9578 11232 14367 16848 19156 28734 33696 38312 43101 57468 62257 76624 86202 114936 124514 129303 153248 172404 186771 229872 249028 258606 344808 373542 387909 459744 498056 517212 560313 689616 747084 775818 996112 1034424 1120626 1379232 1494168 1551636 1680939 1992224 2068848 2241252 2988336 3103272 3361878 4137696 4482504 5042817 5976672 6206544 6723756 8965008 10085634 12413088 13447512 17930016 20171268 26895024 40342536 53790048 80685072 161370144