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145034120 = 2357311312
BaseRepresentation
bin10001010010100…
…00101110001000
3101002220111102002
420221100232020
5244112042440
622220330132
73410525000
oct1051205610
9332814362
10145034120
1174960310
12406a3948
132408080a
1415395000
15caed115
hex8a50b88

145034120 has 192 divisors, whose sum is σ = 428976000. Its totient is φ = 43747200.

The previous prime is 145034107. The next prime is 145034167. The reversal of 145034120 is 21430541.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 145034092 and 145034101.

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, 4678505 + ... + 4678535.

It is an arithmetic number, because the mean of its divisors is an integer number (2234250).

Almost surely, 2145034120 is an apocalyptic number.

145034120 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 145034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214488000).

145034120 is an abundant number, since it is smaller than the sum of its proper divisors (283941880).

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

145034120 is a wasteful number, since it uses less digits than its factorization.

145034120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 145034120 is about 12043.0112513441. The cubic root of 145034120 is about 525.3999914700.

Adding to 145034120 its reverse (21430541), we get a palindrome (166464661).

The spelling of 145034120 in words is "one hundred forty-five million, thirty-four thousand, one hundred twenty".