145780440 has 256 divisors, whose sum is σ = 522547200. Its totient is φ = 32169984.

The previous prime is 145780433. The next prime is 145780447. The reversal of 145780440 is 44087541.

It is an interprime number because it is at equal distance from previous prime (145780433) and next prime (145780447).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145780447) by changing a digit.

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, 609841 + ... + 610079.

It is an arithmetic number, because the mean of its divisors is an integer number (2041200).

Almost surely, 2^145780440 is an apocalyptic number.

145780440 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 145780440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261273600).

145780440 is an abundant number, since it is smaller than the sum of its proper divisors (376766760).

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

145780440 is a wasteful number, since it uses less digits than its factorization.

145780440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 145780440 is about 12073.9570978201. The cubic root of 145780440 is about 526.2996552879.

The spelling of 145780440 in words is "one hundred forty-five million, seven hundred eighty thousand, four hundred forty".