145280000 has 110 divisors (see below), whose sum is σ = 364505196. Its totient is φ = 57856000.

The previous prime is 145279997. The next prime is 145280021. The reversal of 145280000 is 82541.

It is a super-2 number, since 2×145280000² = 42212556800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 639887 + ... + 640113.

Almost surely, 2^145280000 is an apocalyptic number.

145280000 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 145280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182252598).

145280000 is an abundant number, since it is smaller than the sum of its proper divisors (219225196).

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

145280000 is an frugal number, since it uses more digits than its factorization.

145280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 145280000 is about 12053.2153386555. The cubic root of 145280000 is about 525.6967317930.

The spelling of 145280000 in words is "one hundred forty-five million, two hundred eighty thousand".