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145821375 = 3253718517
BaseRepresentation
bin10001011000100…
…00111010111111
3101011101111022200
420230100322333
5244312241000
622245242543
73420314130
oct1054207277
9334344280
10145821375
1175348837
1240a03453
1324297c4b
141551bc87
15cc06500
hex8b10ebf

145821375 has 48 divisors (see below), whose sum is σ = 300436032. Its totient is φ = 66657600.

The previous prime is 145821373. The next prime is 145821397. The reversal of 145821375 is 573128541.

145821375 is a `hidden beast` number, since 1 + 4 + 582 + 1 + 3 + 75 = 666.

It is not a de Polignac number, because 145821375 - 21 = 145821373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145821373) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1384 + ... + 17133.

It is an arithmetic number, because the mean of its divisors is an integer number (6259084).

Almost surely, 2145821375 is an apocalyptic number.

145821375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145821375 is an abundant number, since it is smaller than the sum of its proper divisors (154614657).

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

145821375 is a wasteful number, since it uses less digits than its factorization.

145821375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18545 (or 18532 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 145821375 is about 12075.6521563020. The cubic root of 145821375 is about 526.3489121479.

The spelling of 145821375 in words is "one hundred forty-five million, eight hundred twenty-one thousand, three hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 125 175 225 315 375 525 875 1125 1575 2625 7875 18517 55551 92585 129619 166653 277755 388857 462925 648095 833265 1166571 1388775 1944285 2314625 3240475 4166325 5832855 6943875 9721425 16202375 20831625 29164275 48607125 145821375