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145388736 = 263384137
BaseRepresentation
bin10001010101001…
…11010011000000
3101010120111212000
420222213103000
5244204414421
622232104000
73413532603
oct1052472300
9333514760
10145388736
1175082789
1240835000
132417604c
141544833a
15cb6d226
hex8aa74c0

145388736 has 56 divisors (see below), whose sum is σ = 427421040. Its totient is φ = 48462336.

The previous prime is 145388731. The next prime is 145388821. The reversal of 145388736 is 637883541.

145388736 is a `hidden beast` number, since 1 + 4 + 538 + 87 + 36 = 666.

It is a super-2 number, since 2×1453887362 = 42275769111355392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145388691 and 145388700.

It is not an unprimeable number, because it can be changed into a prime (145388731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40341 + ... + 43796.

Almost surely, 2145388736 is an apocalyptic number.

145388736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145388736 is an abundant number, since it is smaller than the sum of its proper divisors (282032304).

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

145388736 is an equidigital number, since it uses as much as digits as its factorization.

145388736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84158 (or 84142 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 145388736 is about 12057.7251585861. The cubic root of 145388736 is about 525.8278530866.

The spelling of 145388736 in words is "one hundred forty-five million, three hundred eighty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 84137 168274 252411 336548 504822 673096 757233 1009644 1346192 1514466 2019288 2271699 2692384 3028932 4038576 4543398 5384768 6057864 8077152 9086796 12115728 16154304 18173592 24231456 36347184 48462912 72694368 145388736