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145975500 = 22335311983
BaseRepresentation
bin10001011001101…
…10100011001100
3101011200022202000
420230312203030
5244332204000
622252432300
73421525356
oct1054664314
9334608660
10145975500
1175443610
1240a78690
1324320148
141555c0d6
15cc37000
hex8b368cc

145975500 has 192 divisors, whose sum is σ = 515773440. Its totient is φ = 35352000.

The previous prime is 145975477. The next prime is 145975507. The reversal of 145975500 is 5579541.

145975500 is a `hidden beast` number, since 14 + 5 + 97 + 550 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (145975507) 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 63 ways as a sum of consecutive naturals, for example, 148009 + ... + 148991.

It is an arithmetic number, because the mean of its divisors is an integer number (2686320).

Almost surely, 2145975500 is an apocalyptic number.

145975500 is a gapful number since it is divisible by the number (10) 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 145975500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257886720).

145975500 is an abundant number, since it is smaller than the sum of its proper divisors (369797940).

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

145975500 is a wasteful number, since it uses less digits than its factorization.

145975500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 145975500 is about 12082.0321138457. The cubic root of 145975500 is about 526.5342872615.

The spelling of 145975500 in words is "one hundred forty-five million, nine hundred seventy-five thousand, five hundred".