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145440360 = 23355131151
BaseRepresentation
bin10001010101100…
…11111001101000
3101010200010200000
420222303321220
5244213042420
622233143000
73414136242
oct1052637150
9333603600
10145440360
117510854a
124085aa60
13241936b0
141545d092
15cb7d690
hex8ab3e68

145440360 has 192 divisors, whose sum is σ = 528353280. Its totient is φ = 35769600.

The previous prime is 145440359. The next prime is 145440371. The reversal of 145440360 is 63044541.

145440360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 125785 + ... + 126935.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2145440360 is an apocalyptic number.

145440360 is a gapful number since it is divisible by the number (10) 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 145440360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

145440360 is an abundant number, since it is smaller than the sum of its proper divisors (382912920).

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

145440360 is a wasteful number, since it uses less digits than its factorization.

145440360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 145440360 is about 12059.8656708937. The cubic root of 145440360 is about 525.8900819442.

It can be divided in two parts, 1454 and 40360, that added together give a palindrome (41814).

The spelling of 145440360 in words is "one hundred forty-five million, four hundred forty thousand, three hundred sixty".