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145123488 = 25366221
BaseRepresentation
bin10001010011001…
…10100010100000
3101010002001000000
420221212202200
5244122422423
622222300000
73411346356
oct1051464240
9333061000
10145123488
1174a11474
1240727600
13240b23b3
14153b97d6
15cb19843
hex8a668a0

145123488 has 84 divisors (see below), whose sum is σ = 428440698. Its totient is φ = 48366720.

The previous prime is 145123471. The next prime is 145123499. The reversal of 145123488 is 884321541.

It can be written as a sum of positive squares in only one way, i.e., 143712144 + 1411344 = 11988^2 + 1188^2 .

It is a super-2 number, since 2×1451234882 = 42121653538572288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 20218 + ... + 26438.

Almost surely, 2145123488 is an apocalyptic number.

145123488 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 145123488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214220349).

145123488 is an abundant number, since it is smaller than the sum of its proper divisors (283317210).

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

145123488 is an frugal number, since it uses more digits than its factorization.

145123488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6249 (or 6226 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 145123488 is about 12046.7210476544. The cubic root of 145123488 is about 525.5078840257.

The spelling of 145123488 in words is "one hundred forty-five million, one hundred twenty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5832 6221 7776 11664 12442 18663 23328 24884 37326 49768 55989 74652 99536 111978 149304 167967 199072 223956 298608 335934 447912 503901 597216 671868 895824 1007802 1343736 1511703 1791648 2015604 2687472 3023406 4031208 4535109 5374944 6046812 8062416 9070218 12093624 16124832 18140436 24187248 36280872 48374496 72561744 145123488