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145628136 = 23322022613
BaseRepresentation
bin10001010111000…
…01101111101000
3101011000200020200
420223201233220
5244240100021
622241152200
73415550553
oct1053415750
9334020220
10145628136
1175226635
124092b660
132422acc4
14154ab69a
15cbb9126
hex8ae1be8

145628136 has 24 divisors (see below), whose sum is σ = 394409730. Its totient is φ = 48542688.

The previous prime is 145628129. The next prime is 145628183. The reversal of 145628136 is 631826541.

It is a happy number.

145628136 is a `hidden beast` number, since 14 + 5 + 628 + 13 + 6 = 666.

145628136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 75168900 + 70459236 = 8670^2 + 8394^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 145628136.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1011235 + ... + 1011378.

Almost surely, 2145628136 is an apocalyptic number.

It is an amenable number.

145628136 is an abundant number, since it is smaller than the sum of its proper divisors (248781594).

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

145628136 is a wasteful number, since it uses less digits than its factorization.

145628136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022625 (or 2022618 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 145628136 is about 12067.6483210276. The cubic root of 145628136 is about 526.1163077054.

It can be divided in two parts, 1456 and 28136, that added together give a palindrome (29592).

The spelling of 145628136 in words is "one hundred forty-five million, six hundred twenty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2022613 4045226 6067839 8090452 12135678 16180904 18203517 24271356 36407034 48542712 72814068 145628136