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145104120 = 23325771811
BaseRepresentation
bin10001010011000…
…01110011111000
3101010001001102200
420221201303320
5244121312440
622222030200
73411236040
oct1051416370
9333031380
10145104120
11749a8967
1240718360
13240a6635
14153b2720
15cb13c30
hex8a61cf8

145104120 has 192 divisors, whose sum is σ = 547223040. Its totient is φ = 32659200.

The previous prime is 145104107. The next prime is 145104131. The reversal of 145104120 is 21401541.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 145104093 and 145104102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178515 + ... + 179325.

It is an arithmetic number, because the mean of its divisors is an integer number (2850120).

Almost surely, 2145104120 is an apocalyptic number.

145104120 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 145104120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273611520).

145104120 is an abundant number, since it is smaller than the sum of its proper divisors (402118920).

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

145104120 is a wasteful number, since it uses less digits than its factorization.

145104120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 145104120 is about 12045.9171506366. The cubic root of 145104120 is about 525.4845051097.

Adding to 145104120 its reverse (21401541), we get a palindrome (166505661).

The spelling of 145104120 in words is "one hundred forty-five million, one hundred four thousand, one hundred twenty".