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145745145 = 32571335591
BaseRepresentation
bin10001010111111…
…10010011111001
3101011020121202100
420223332103321
5244302321040
622243454013
73416545650
oct1053762371
9334217670
10145745145
11752a6537
1240987309
132426c340
14154dc197
15cbddb30
hex8afe4f9

145745145 has 48 divisors (see below), whose sum is σ = 310931712. Its totient is φ = 61499520.

The previous prime is 145745137. The next prime is 145745147. The reversal of 145745145 is 541547541.

It is not a de Polignac number, because 145745145 - 23 = 145745137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145745147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13701 + ... + 21890.

It is an arithmetic number, because the mean of its divisors is an integer number (6477744).

Almost surely, 2145745145 is an apocalyptic number.

145745145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145745145 is an abundant number, since it is smaller than the sum of its proper divisors (165186567).

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

145745145 is a wasteful number, since it uses less digits than its factorization.

145745145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35622 (or 35619 counting only the distinct ones).

The product of its digits is 56000, while the sum is 36.

The square root of 145745145 is about 12072.4953924199. The cubic root of 145745145 is about 526.2571776055.

The spelling of 145745145 in words is "one hundred forty-five million, seven hundred forty-five thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 1365 4095 35591 106773 177955 249137 320319 462683 533865 747411 1245685 1388049 1601595 2242233 2313415 3238781 3737055 4164147 6940245 9716343 11211165 16193905 20820735 29149029 48581715 145745145