145704000 has 224 divisors, whose sum is σ = 519232896. Its totient is φ = 35788800.

The previous prime is 145703983. The next prime is 145704001. The reversal of 145704000 is 407541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145704001) 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, 311767 + ... + 312233.

It is an arithmetic number, because the mean of its divisors is an integer number (2318004).

Almost surely, 2^145704000 is an apocalyptic number.

145704000 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 145704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259616448).

145704000 is an abundant number, since it is smaller than the sum of its proper divisors (373528896).

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

145704000 is a wasteful number, since it uses less digits than its factorization.

145704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 145704000 is about 12070.7911919642. The cubic root of 145704000 is about 526.2076507654.

The spelling of 145704000 in words is "one hundred forty-five million, seven hundred four thousand".