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145888128 = 273414071
BaseRepresentation
bin10001011001000…
…01001110000000
3101011111212220000
420230201032000
5244321410003
622250520000
73421012551
oct1054411600
9334455800
10145888128
1175393a01
1240a36000
13242bc449
1415538328
15cc1b1a3
hex8b21380

145888128 has 80 divisors (see below), whose sum is σ = 434191560. Its totient is φ = 48625920.

The previous prime is 145888123. The next prime is 145888129. The reversal of 145888128 is 821888541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145888123) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3333 + ... + 17403.

Almost surely, 2145888128 is an apocalyptic number.

145888128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145888128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217095780).

145888128 is an abundant number, since it is smaller than the sum of its proper divisors (288303432).

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

145888128 is an equidigital number, since it uses as much as digits as its factorization.

145888128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14097 (or 14076 counting only the distinct ones).

The product of its digits is 163840, while the sum is 45.

The square root of 145888128 is about 12078.4157901606. The cubic root of 145888128 is about 526.4292158961.

The spelling of 145888128 in words is "one hundred forty-five million, eight hundred eighty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 14071 28142 42213 56284 84426 112568 126639 168852 225136 253278 337704 379917 450272 506556 675408 759834 900544 1013112 1139751 1350816 1519668 1801088 2026224 2279502 2701632 3039336 4052448 4559004 5403264 6078672 8104896 9118008 12157344 16209792 18236016 24314688 36472032 48629376 72944064 145888128