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145331712 = 293310513
BaseRepresentation
bin10001010100110…
…01011000000000
3101010110121122000
420222121120000
5244201103322
622230544000
73413204421
oct1052313000
9333417560
10145331712
1175043959
1240808000
13241560c6
1415431648
15cb5b3ac
hex8a99600

145331712 has 80 divisors (see below), whose sum is σ = 430232880. Its totient is φ = 48439296.

The previous prime is 145331677. The next prime is 145331717. The reversal of 145331712 is 217133541.

It is a super-2 number, since 2×1453317122 = 42242613025701888, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145331717) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8568 + ... + 19080.

It is an arithmetic number, because the mean of its divisors is an integer number (5377911).

Almost surely, 2145331712 is an apocalyptic number.

145331712 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 145331712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215116440).

145331712 is an abundant number, since it is smaller than the sum of its proper divisors (284901168).

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

145331712 is an equidigital number, since it uses as much as digits as its factorization.

145331712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10540 (or 10518 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 145331712 is about 12055.3603015422. The cubic root of 145331712 is about 525.7590978094.

The spelling of 145331712 in words is "one hundred forty-five million, three hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 10513 13824 21026 31539 42052 63078 84104 94617 126156 168208 189234 252312 283851 336416 378468 504624 567702 672832 756936 1009248 1135404 1345664 1513872 2018496 2270808 2691328 3027744 4036992 4541616 5382656 6055488 8073984 9083232 12110976 16147968 18166464 24221952 36332928 48443904 72665856 145331712