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145596150 = 23352723171
BaseRepresentation
bin10001010110110…
…01111011110110
3101010222001101000
420223121323312
5244233034100
622240344130
73415355400
oct1053317366
9333861330
10145596150
11752045a7
1240915046
132421958b
141549db70
15cbae900
hex8ad9ef6

145596150 has 288 divisors, whose sum is σ = 488540160. Its totient is φ = 31752000.

The previous prime is 145596149. The next prime is 145596167. The reversal of 145596150 is 51695541.

145596150 is a `hidden beast` number, since 14 + 5 + 596 + 1 + 50 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2050615 + ... + 2050685.

It is an arithmetic number, because the mean of its divisors is an integer number (1696320).

Almost surely, 2145596150 is an apocalyptic number.

145596150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145596150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244270080).

145596150 is an abundant number, since it is smaller than the sum of its proper divisors (342944010).

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

145596150 is a wasteful number, since it uses less digits than its factorization.

145596150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 145596150 is about 12066.3229693225. The cubic root of 145596150 is about 526.0777858718.

The spelling of 145596150 in words is "one hundred forty-five million, five hundred ninety-six thousand, one hundred fifty".