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145680174 = 23317374289
BaseRepresentation
bin10001010111011…
…10011100101110
3101011010022122000
420223232130232
5244243231144
622242233130
73416155353
oct1053563456
9334108560
10145680174
1175261742
12409557a6
13242488b3
14154c262a
15cbc9769
hex8aee72e

145680174 has 64 divisors (see below), whose sum is σ = 352123200. Its totient is φ = 44457984.

The previous prime is 145680169. The next prime is 145680181. The reversal of 145680174 is 471086541.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31822 + ... + 36110.

It is an arithmetic number, because the mean of its divisors is an integer number (5501925).

Almost surely, 2145680174 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145680174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176061600).

145680174 is an abundant number, since it is smaller than the sum of its proper divisors (206443026).

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

145680174 is a wasteful number, since it uses less digits than its factorization.

145680174 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4354 (or 4348 counting only the distinct ones).

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

The square root of 145680174 is about 12069.8042237644. The cubic root of 145680174 is about 526.1789667967.

The spelling of 145680174 in words is "one hundred forty-five million, six hundred eighty thousand, one hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 27 34 37 51 54 74 102 111 153 222 306 333 459 629 666 918 999 1258 1887 1998 3774 4289 5661 8578 11322 12867 16983 25734 33966 38601 72913 77202 115803 145826 158693 218739 231606 317386 437478 476079 656217 952158 1312434 1428237 1968651 2697781 2856474 3937302 4284711 5395562 8093343 8569422 16186686 24280029 48560058 72840087 145680174