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145377477 = 3373720789
BaseRepresentation
bin10001010101001…
…00100011000101
3101010112221102000
420222210203011
5244204034402
622231535513
73413455020
oct1052444305
9333487360
10145377477
1175075283
124082a599
1324170b9b
14154441b7
15cb69c1c
hex8aa48c5

145377477 has 32 divisors (see below), whose sum is σ = 252806400. Its totient is φ = 80823744.

The previous prime is 145377467. The next prime is 145377499. The reversal of 145377477 is 774773541.

It is a happy number.

145377477 is a `hidden beast` number, since 145 + 37 + 7 + 477 = 666.

It is not a de Polignac number, because 145377477 - 212 = 145373381 is a prime.

It is a super-2 number, since 2×1453774772 = 42269221637771058, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145377437) 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 31 ways as a sum of consecutive naturals, for example, 3402 + ... + 17387.

It is an arithmetic number, because the mean of its divisors is an integer number (7900200).

Almost surely, 2145377477 is an apocalyptic number.

It is an amenable number.

145377477 is a deficient number, since it is larger than the sum of its proper divisors (107428923).

145377477 is a wasteful number, since it uses less digits than its factorization.

145377477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20842 (or 20836 counting only the distinct ones).

The product of its digits is 576240, while the sum is 45.

The square root of 145377477 is about 12057.2582704361. The cubic root of 145377477 is about 525.8142792505.

The spelling of 145377477 in words is "one hundred forty-five million, three hundred seventy-seven thousand, four hundred seventy-seven".

Divisors: 1 3 7 9 21 27 37 63 111 189 259 333 777 999 2331 6993 20789 62367 145523 187101 436569 561303 769193 1309707 2307579 3929121 5384351 6922737 16153053 20768211 48459159 145377477