145456400 has 60 divisors (see below), whose sum is σ = 367870800. Its totient is φ = 55117440.

The previous prime is 145456387. The next prime is 145456453. The reversal of 145456400 is 4654541.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1970 + ... + 17169.

It is an arithmetic number, because the mean of its divisors is an integer number (6131180).

Almost surely, 2^145456400 is an apocalyptic number.

145456400 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 145456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183935400).

145456400 is an abundant number, since it is smaller than the sum of its proper divisors (222414400).

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

145456400 is a wasteful number, since it uses less digits than its factorization.

145456400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19176 (or 19165 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 145456400 is about 12060.5306682583. The cubic root of 145456400 is about 525.9094139619.

The spelling of 145456400 in words is "one hundred forty-five million, four hundred fifty-six thousand, four hundred".