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145159872 = 263111317311
BaseRepresentation
bin10001010011011…
…11011011000000
3101010010212220120
420221233123000
5244130103442
622223140240
73411560424
oct1051573300
9333125816
10145159872
1174a36840
1240744680
13240c5b20
14153c8b84
15cb254ec
hex8a6f6c0

145159872 has 224 divisors, whose sum is σ = 479291904. Its totient is φ = 38092800.

The previous prime is 145159837. The next prime is 145159879. The reversal of 145159872 is 278951541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145159879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466597 + ... + 466907.

It is an arithmetic number, because the mean of its divisors is an integer number (2139696).

Almost surely, 2145159872 is an apocalyptic number.

145159872 is a gapful number since it is divisible by the number (12) 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 145159872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239645952).

145159872 is an abundant number, since it is smaller than the sum of its proper divisors (334132032).

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

145159872 is a wasteful number, since it uses less digits than its factorization.

145159872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 357 counting only the distinct ones).

The product of its digits is 100800, while the sum is 42.

The square root of 145159872 is about 12048.2310734813. The cubic root of 145159872 is about 525.5517971590.

The spelling of 145159872 in words is "one hundred forty-five million, one hundred fifty-nine thousand, eight hundred seventy-two".