145211200 has 84 divisors (see below), whose sum is σ = 365101632. Its totient is φ = 56819200.

The previous prime is 145211189. The next prime is 145211203. The reversal of 145211200 is 2112541.

145211200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145211203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74235 + ... + 76165.

It is an arithmetic number, because the mean of its divisors is an integer number (4346448).

Almost surely, 2^145211200 is an apocalyptic number.

145211200 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 145211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182550816).

145211200 is an abundant number, since it is smaller than the sum of its proper divisors (219890432).

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

145211200 is a wasteful number, since it uses less digits than its factorization.

145211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 145211200 is about 12050.3609904434. The cubic root of 145211200 is about 525.6137342573.

Adding to 145211200 its reverse (2112541), we get a palindrome (147323741).

The spelling of 145211200 in words is "one hundred forty-five million, two hundred eleven thousand, two hundred".