145246200 has 192 divisors, whose sum is σ = 500860800. Its totient is φ = 34521600.

The previous prime is 145246193. The next prime is 145246207. The reversal of 145246200 is 2642541.

It is an interprime number because it is at equal distance from previous prime (145246193) and next prime (145246207).

It is a super-2 number, since 2×145246200² = 42192917228880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145246207) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 389214 + ... + 389586.

It is an arithmetic number, because the mean of its divisors is an integer number (2608650).

Almost surely, 2^145246200 is an apocalyptic number.

145246200 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 145246200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250430400).

145246200 is an abundant number, since it is smaller than the sum of its proper divisors (355614600).

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

145246200 is a wasteful number, since it uses less digits than its factorization.

145246200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 145246200 is about 12051.8131415982. The cubic root of 145246200 is about 525.6559601161.

Adding to 145246200 its reverse (2642541), we get a palindrome (147888741).

The spelling of 145246200 in words is "one hundred forty-five million, two hundred forty-six thousand, two hundred".