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145739160 = 233257151383
BaseRepresentation
bin10001010111111…
…00110110011000
3101011020022112200
420223330312120
5244302123120
622243410200
73416522340
oct1053746630
9334208480
10145739160
11752a1a96
1240983960
13242696b8
14154d9d20
15cbdbe90
hex8afcd98

145739160 has 192 divisors, whose sum is σ = 546324480. Its totient is φ = 33004800.

The previous prime is 145739159. The next prime is 145739173. The reversal of 145739160 is 61937541.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380329 + ... + 380711.

It is an arithmetic number, because the mean of its divisors is an integer number (2845440).

Almost surely, 2145739160 is an apocalyptic number.

145739160 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 145739160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273162240).

145739160 is an abundant number, since it is smaller than the sum of its proper divisors (400585320).

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

145739160 is a wasteful number, since it uses less digits than its factorization.

145739160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 145739160 is about 12072.2475123732. The cubic root of 145739160 is about 526.2499739526.

The spelling of 145739160 in words is "one hundred forty-five million, seven hundred thirty-nine thousand, one hundred sixty".