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145512045 = 37571901
BaseRepresentation
bin10001010110001…
…01011001101101
3101010210210000000
420223011121231
5244222341140
622234454513
73414555240
oct1053053155
9333723000
10145512045
1175157398
1240894439
13241ba203
141547b257
15cb94a30
hex8ac566d

145512045 has 64 divisors (see below), whose sum is σ = 299450880. Its totient is φ = 66484800.

The previous prime is 145512019. The next prime is 145512067. The reversal of 145512045 is 540215541.

145512045 is a `hidden beast` number, since 1 + 455 + 1 + 204 + 5 = 666.

145512045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145512045 - 214 = 145495661 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75595 + ... + 77495.

It is an arithmetic number, because the mean of its divisors is an integer number (4678920).

Almost surely, 2145512045 is an apocalyptic number.

145512045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145512045 is an abundant number, since it is smaller than the sum of its proper divisors (153938835).

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

145512045 is an frugal number, since it uses more digits than its factorization.

145512045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 145512045 is about 12062.8373527956. The cubic root of 145512045 is about 525.9764684158.

Adding to 145512045 its reverse (540215541), we get a palindrome (685727586).

The spelling of 145512045 in words is "one hundred forty-five million, five hundred twelve thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 405 567 729 945 1215 1701 1901 2187 2835 3645 5103 5703 8505 9505 10935 13307 15309 17109 25515 28515 39921 51327 66535 76545 85545 119763 153981 199605 256635 359289 461943 598815 769905 1077867 1385829 1796445 2309715 3233601 4157487 5389335 6929145 9700803 16168005 20787435 29102409 48504015 145512045