145200000 has 288 divisors, whose sum is σ = 529887960. Its totient is φ = 35200000.

The previous prime is 145199981. The next prime is 145200031. The reversal of 145200000 is 2541.

145200000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13199995 + ... + 13200005.

Almost surely, 2^145200000 is an apocalyptic number.

145200000 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 145200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264943980).

145200000 is an abundant number, since it is smaller than the sum of its proper divisors (384687960).

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

145200000 is an frugal number, since it uses more digits than its factorization.

145200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 145200000 is about 12049.8962651137. The cubic root of 145200000 is about 525.6002205495.

Adding to 145200000 its reverse (2541), we get a palindrome (145202541).

The spelling of 145200000 in words is "one hundred forty-five million, two hundred thousand".