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145364501 = 1729893313
BaseRepresentation
bin10001010101000…
…01011000010101
3101010112021121102
420222201120111
5244203131001
622231355445
73413402132
oct1052413025
9333467542
10145364501
1175066557
1240822b85
1324167cc9
141543d589
15cb65e6b
hex8aa1615

145364501 has 16 divisors (see below), whose sum is σ = 161060400. Its totient is φ = 130572288.

The previous prime is 145364447. The next prime is 145364507. The reversal of 145364501 is 105463541.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8708401 + 136656100 = 2951^2 + 11690^2 .

It is a cyclic number.

It is not a de Polignac number, because 145364501 - 26 = 145364437 is a prime.

It is a super-2 number, since 2×1453645012 = 42261676301958002, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145364507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42221 + ... + 45533.

It is an arithmetic number, because the mean of its divisors is an integer number (10066275).

Almost surely, 2145364501 is an apocalyptic number.

It is an amenable number.

145364501 is a deficient number, since it is larger than the sum of its proper divisors (15695899).

145364501 is a wasteful number, since it uses less digits than its factorization.

145364501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3448.

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 145364501 is about 12056.7201593136. The cubic root of 145364501 is about 525.7986345320.

The spelling of 145364501 in words is "one hundred forty-five million, three hundred sixty-four thousand, five hundred one".

Divisors: 1 17 29 89 493 1513 2581 3313 43877 56321 96077 294857 1633309 5012569 8550853 145364501