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145461078 = 232717591151
BaseRepresentation
bin10001010101110…
…00111101010110
3101010201012002100
420222320331112
5244214223303
622233422530
73414253530
oct1052707526
9333635070
10145461078
1175122074
124086aa46
132419cc59
1415466850
15cb848a3
hex8ab8f56

145461078 has 96 divisors (see below), whose sum is σ = 388177920. Its totient is φ = 38419200.

The previous prime is 145461077. The next prime is 145461089. The reversal of 145461078 is 870164541.

It is a happy number.

145461078 is a `hidden beast` number, since 1 + 4 + 546 + 107 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145461077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125803 + ... + 126953.

It is an arithmetic number, because the mean of its divisors is an integer number (4043520).

Almost surely, 2145461078 is an apocalyptic number.

145461078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145461078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194088960).

145461078 is an abundant number, since it is smaller than the sum of its proper divisors (242716842).

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

145461078 is a wasteful number, since it uses less digits than its factorization.

145461078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 145461078 is about 12060.7246050973. The cubic root of 145461078 is about 525.9150517976.

The spelling of 145461078 in words is "one hundred forty-five million, four hundred sixty-one thousand, seventy-eight".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 59 63 102 118 119 126 153 177 238 306 354 357 413 531 714 826 1003 1062 1071 1151 1239 2006 2142 2302 2478 3009 3453 3717 6018 6906 7021 7434 8057 9027 10359 14042 16114 18054 19567 20718 21063 24171 39134 42126 48342 58701 63189 67909 72513 117402 126378 135818 136969 145026 176103 203727 273938 352206 407454 410907 475363 611181 821814 950726 1154453 1222362 1232721 1426089 2308906 2465442 2852178 3463359 4278267 6926718 8081171 8556534 10390077 16162342 20780154 24243513 48487026 72730539 145461078