145420800 has 240 divisors, whose sum is σ = 550030272. Its totient is φ = 33177600.

The previous prime is 145420777. The next prime is 145420823. The reversal of 145420800 is 8024541.

It is an interprime number because it is at equal distance from previous prime (145420777) and next prime (145420823).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×145420800³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268530 + ... + 269070.

Almost surely, 2^145420800 is an apocalyptic number.

145420800 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 145420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275015136).

145420800 is an abundant number, since it is smaller than the sum of its proper divisors (404609472).

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

145420800 is an equidigital number, since it uses as much as digits as its factorization.

145420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 145420800 is about 12059.0546893196. The cubic root of 145420800 is about 525.8665055651.

The spelling of 145420800 in words is "one hundred forty-five million, four hundred twenty thousand, eight hundred".