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145711488 = 27313172101
BaseRepresentation
bin10001010111101…
…10000110000000
3101011011220120210
420223312012000
5244300231423
622243034120
73416345556
oct1053660600
9334156523
10145711488
117528321a
124096b940
1324259c20
14154cdbd6
15cbd3b93
hex8af6180

145711488 has 192 divisors, whose sum is σ = 447163920. Its totient is φ = 41779200.

The previous prime is 145711487. The next prime is 145711507. The reversal of 145711488 is 884117541.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145711481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1442638 + ... + 1442738.

Almost surely, 2145711488 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 145711488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223581960).

145711488 is an abundant number, since it is smaller than the sum of its proper divisors (301452432).

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

145711488 is a wasteful number, since it uses less digits than its factorization.

145711488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 136 counting only the distinct ones).

The product of its digits is 35840, while the sum is 39.

The square root of 145711488 is about 12071.1013582026. The cubic root of 145711488 is about 526.2166648748.

The spelling of 145711488 in words is "one hundred forty-five million, seven hundred eleven thousand, four hundred eighty-eight".