145720824 has 64 divisors (see below), whose sum is σ = 393292800. Its totient is φ = 44854656.

The previous prime is 145720819. The next prime is 145720843. The reversal of 145720824 is 428027541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11457 + ... + 20559.

It is an arithmetic number, because the mean of its divisors is an integer number (6145200).

Almost surely, 2^145720824 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 145720824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196646400).

145720824 is an abundant number, since it is smaller than the sum of its proper divisors (247571976).

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

145720824 is a wasteful number, since it uses less digits than its factorization.

145720824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9164 (or 9160 counting only the distinct ones).

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

The square root of 145720824 is about 12071.4880607156. The cubic root of 145720824 is about 526.2279031877.

The spelling of 145720824 in words is "one hundred forty-five million, seven hundred twenty thousand, eight hundred twenty-four".