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145685088 = 2533168617
BaseRepresentation
bin10001010111011…
…11101001100000
3101011010120101000
420223233221200
5244243410323
622242312000
73416205603
oct1053575140
9334116330
10145685088
11752653aa
1240958600
132424abc3
14154c433a
15cbcae43
hex8aefa60

145685088 has 48 divisors (see below), whose sum is σ = 424917360. Its totient is φ = 48561408.

The previous prime is 145685083. The next prime is 145685107. The reversal of 145685088 is 880586541.

145685088 is a `hidden beast` number, since 1 + 4 + 568 + 5 + 0 + 88 = 666.

145685088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145685081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83445 + ... + 85172.

It is an arithmetic number, because the mean of its divisors is an integer number (8852445).

Almost surely, 2145685088 is an apocalyptic number.

145685088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

145685088 is an abundant number, since it is smaller than the sum of its proper divisors (279232272).

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

145685088 is a wasteful number, since it uses less digits than its factorization.

145685088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168636 (or 168622 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 145685088 is about 12070.0077879014. The cubic root of 145685088 is about 526.1848829858.

The spelling of 145685088 in words is "one hundred forty-five million, six hundred eighty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 168617 337234 505851 674468 1011702 1348936 1517553 2023404 2697872 3035106 4046808 4552659 5395744 6070212 8093616 9105318 12140424 16187232 18210636 24280848 36421272 48561696 72842544 145685088