145242688 has 56 divisors (see below), whose sum is σ = 313253120. Its totient is φ = 66562560.

The previous prime is 145242673. The next prime is 145242689. The reversal of 145242688 is 886242541.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 145242688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145242689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35770 + ... + 39622.

Almost surely, 2^145242688 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 145242688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156626560).

145242688 is an abundant number, since it is smaller than the sum of its proper divisors (168010432).

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

145242688 is a wasteful number, since it uses less digits than its factorization.

145242688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915 (or 3905 counting only the distinct ones).

The product of its digits is 122880, while the sum is 40.

The square root of 145242688 is about 12051.6674365002. The cubic root of 145242688 is about 525.6517233589.

The spelling of 145242688 in words is "one hundred forty-five million, two hundred forty-two thousand, six hundred eighty-eight".