145309920 has 192 divisors, whose sum is σ = 532707840. Its totient is φ = 32606208.

The previous prime is 145309907. The next prime is 145309921. The reversal of 145309920 is 29903541.

It is a super-2 number, since 2×145309920² = 42229945700812800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145309921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197874 + ... + 198606.

It is an arithmetic number, because the mean of its divisors is an integer number (2774520).

Almost surely, 2^145309920 is an apocalyptic number.

145309920 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 145309920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266353920).

145309920 is an abundant number, since it is smaller than the sum of its proper divisors (387397920).

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

145309920 is a wasteful number, since it uses less digits than its factorization.

145309920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 145309920 is about 12054.4564373513. The cubic root of 145309920 is about 525.7328178947.

The spelling of 145309920 in words is "one hundred forty-five million, three hundred nine thousand, nine hundred twenty".