145345200 has 480 divisors, whose sum is σ = 630292992. Its totient is φ = 27878400.

The previous prime is 145345183. The next prime is 145345217. The reversal of 145345200 is 2543541.

It is an interprime number because it is at equal distance from previous prime (145345183) and next prime (145345217).

It is a super-2 number, since 2×145345200² = 42250454326080000, 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11180394 + ... + 11180406.

Almost surely, 2^145345200 is an apocalyptic number.

145345200 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 145345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315146496).

145345200 is an abundant number, since it is smaller than the sum of its proper divisors (484947792).

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

145345200 is a wasteful number, since it uses less digits than its factorization.

145345200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 145345200 is about 12055.9197077618. The cubic root of 145345200 is about 525.7753622554.

Adding to 145345200 its reverse (2543541), we get a palindrome (147888741).

The spelling of 145345200 in words is "one hundred forty-five million, three hundred forty-five thousand, two hundred".