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144908136 = 233317193167
BaseRepresentation
bin10001010001100…
…01111101101000
3101002200002121000
420220301331220
5244044030021
622213515000
73406461462
oct1050617550
9332602530
10144908136
117488469a
1240642a60
1324038379
1415361132
15cac5b26
hex8a31f68

144908136 has 256 divisors, whose sum is σ = 470016000. Its totient is φ = 41057280.

The previous prime is 144908129. The next prime is 144908147. The reversal of 144908136 is 631809441.

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

It is a self number, because there is not a number n which added to its sum of digits gives 144908136.

It is an unprimeable number.

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, 2162775 + ... + 2162841.

It is an arithmetic number, because the mean of its divisors is an integer number (1836000).

Almost surely, 2144908136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144908136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235008000).

144908136 is an abundant number, since it is smaller than the sum of its proper divisors (325107864).

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

144908136 is a wasteful number, since it uses less digits than its factorization.

144908136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 144908136 is about 12037.7795294647. The cubic root of 144908136 is about 525.2478176972.

The spelling of 144908136 in words is "one hundred forty-four million, nine hundred eight thousand, one hundred thirty-six".