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145938195 = 32513892803
BaseRepresentation
bin10001011001011…
…01011100010011
3101011121102120100
420230231130103
5244330010240
622251543443
73421311534
oct1054553423
9334542510
10145938195
1175418587
1240a5ab83
1324309180
141554c68b
15cc2ae30
hex8b2d713

145938195 has 48 divisors (see below), whose sum is σ = 275577120. Its totient is φ = 71013888.

The previous prime is 145938161. The next prime is 145938223. The reversal of 145938195 is 591839541.

145938195 is a `hidden beast` number, since 1 + 459 + 3 + 8 + 195 = 666.

145938195 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 145938195 - 26 = 145938131 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 145938195.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50664 + ... + 53466.

It is an arithmetic number, because the mean of its divisors is an integer number (5741190).

Almost surely, 2145938195 is an apocalyptic number.

145938195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145938195 is a deficient number, since it is larger than the sum of its proper divisors (129638925).

145938195 is a wasteful number, since it uses less digits than its factorization.

145938195 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2913 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 145938195 is about 12080.4881937776. The cubic root of 145938195 is about 526.4894303390.

The spelling of 145938195 in words is "one hundred forty-five million, nine hundred thirty-eight thousand, one hundred ninety-five".

Divisors: 1 3 5 9 13 15 39 45 65 89 117 195 267 445 585 801 1157 1335 2803 3471 4005 5785 8409 10413 14015 17355 25227 36439 42045 52065 109317 126135 182195 249467 327951 546585 748401 1247335 1639755 2245203 3243071 3742005 9729213 11226015 16215355 29187639 48646065 145938195