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145378541 = 7211269719
BaseRepresentation
bin10001010101001…
…00110011101101
3101010112222212102
420222210303231
5244204103131
622231544445
73413461100
oct1052446355
9333488772
10145378541
1175076060
124082b125
1324171509
1415444737
15cb6a1cb
hex8aa4ced

145378541 has 12 divisors (see below), whose sum is σ = 184488480. Its totient is φ = 113281560.

The previous prime is 145378531. The next prime is 145378547. The reversal of 145378541 is 145873541.

145378541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-145378541 is a prime.

It is a super-2 number, since 2×1453785412 = 42269840366577362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145378495 and 145378504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145378547) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134321 + ... + 135398.

It is an arithmetic number, because the mean of its divisors is an integer number (15374040).

Almost surely, 2145378541 is an apocalyptic number.

145378541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145378541 is a deficient number, since it is larger than the sum of its proper divisors (39109939).

145378541 is a wasteful number, since it uses less digits than its factorization.

145378541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269744 (or 269737 counting only the distinct ones).

The product of its digits is 67200, while the sum is 38.

The square root of 145378541 is about 12057.3023931558. The cubic root of 145378541 is about 525.8155620375.

The spelling of 145378541 in words is "one hundred forty-five million, three hundred seventy-eight thousand, five hundred forty-one".

Divisors: 1 7 11 49 77 539 269719 1888033 2966909 13216231 20768363 145378541