145426320 has 160 divisors (see below), whose sum is σ = 539548800. Its totient is φ = 35790336.

The previous prime is 145426291. The next prime is 145426321. The reversal of 145426320 is 23624541.

It is a super-2 number, since 2×145426320² = 42297629097484800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (145426321) 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 31 ways as a sum of consecutive naturals, for example, 25491 + ... + 30669.

It is an arithmetic number, because the mean of its divisors is an integer number (3372180).

Almost surely, 2^145426320 is an apocalyptic number.

145426320 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 145426320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269774400).

145426320 is an abundant number, since it is smaller than the sum of its proper divisors (394122480).

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

145426320 is a wasteful number, since it uses less digits than its factorization.

145426320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5214 (or 5202 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 145426320 is about 12059.2835608091. The cubic root of 145426320 is about 525.8731592359.

The spelling of 145426320 in words is "one hundred forty-five million, four hundred twenty-six thousand, three hundred twenty".