145245001200 has 240 divisors, whose sum is σ = 530532981216. Its totient is φ = 33649459200.

The previous prime is 145245001169. The next prime is 145245001207. The reversal of 145245001200 is 2100542541.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×145245001200² (a number of 23 digits) 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 (145245001207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8641 + ... + 539040.

Almost surely, 2^145245001200 is an apocalyptic number.

145245001200 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 145245001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265266490608).

145245001200 is an abundant number, since it is smaller than the sum of its proper divisors (385287980016).

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

145245001200 is a wasteful number, since it uses less digits than its factorization.

145245001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547732 (or 547721 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 145245001200 its reverse (2100542541), we get a palindrome (147345543741).

The spelling of 145245001200 in words is "one hundred forty-five billion, two hundred forty-five million, one thousand, two hundred".