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145969152 = 212371697
BaseRepresentation
bin10001011001101…
…01000000000000
3101011200000000220
420230311000000
5244332003102
622252343040
73421501020
oct1054650000
9334600026
10145969152
117543986a
1240a74a80
132431a2a4
1415559a80
15cc351bc
hex8b35000

145969152 has 104 divisors (see below), whose sum is σ = 445066176. Its totient is φ = 41680896.

The previous prime is 145969129. The next prime is 145969163. The reversal of 145969152 is 251969541.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85168 + ... + 86864.

Almost surely, 2145969152 is an apocalyptic number.

145969152 is a gapful number since it is divisible by the number (12) 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 145969152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222533088).

145969152 is an abundant number, since it is smaller than the sum of its proper divisors (299097024).

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

145969152 is an equidigital number, since it uses as much as digits as its factorization.

145969152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1709 counting only the distinct ones).

The product of its digits is 97200, while the sum is 42.

The square root of 145969152 is about 12081.7694068377. The cubic root of 145969152 is about 526.5266547293.

The spelling of 145969152 in words is "one hundred forty-five million, nine hundred sixty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1697 1792 2048 2688 3072 3394 3584 4096 5091 5376 6144 6788 7168 10182 10752 11879 12288 13576 14336 20364 21504 23758 27152 28672 35637 40728 43008 47516 54304 71274 81456 86016 95032 108608 142548 162912 190064 217216 285096 325824 380128 434432 570192 651648 760256 868864 1140384 1303296 1520512 1737728 2280768 2606592 3041024 3475456 4561536 5213184 6082048 6950912 9123072 10426368 12164096 18246144 20852736 24328192 36492288 48656384 72984576 145969152