145480000 has 70 divisors (see below), whose sum is σ = 360842306. Its totient is φ = 58176000.

The previous prime is 145479977. The next prime is 145480007. The reversal of 145480000 is 84541.

It can be written as a sum of positive squares in 5 ways, for example, as 101284096 + 44195904 = 10064^2 + 6648^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145480007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38182 + ... + 41818.

Almost surely, 2^145480000 is an apocalyptic number.

145480000 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 145480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180421153).

145480000 is an abundant number, since it is smaller than the sum of its proper divisors (215362306).

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

145480000 is an frugal number, since it uses more digits than its factorization.

145480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3669 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 145480000 is about 12061.5090266517. The cubic root of 145480000 is about 525.9378549953.

The spelling of 145480000 in words is "one hundred forty-five million, four hundred eighty thousand".