145335244800 has 144 divisors (see below), whose sum is σ = 480458389320. Its totient is φ = 38756024320.

The previous prime is 145335244777. The next prime is 145335244807. The reversal of 145335244800 is 8442533541.

It is a super-2 number, since 2×145335244800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145335244807) 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, 319497 + ... + 626696.

Almost surely, 2^145335244800 is an apocalyptic number.

145335244800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145335244800 is an abundant number, since it is smaller than the sum of its proper divisors (335123144520).

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

145335244800 is an equidigital number, since it uses as much as digits as its factorization.

145335244800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946228 (or 946203 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 145335244800 in words is "one hundred forty-five billion, three hundred thirty-five million, two hundred forty-four thousand, eight hundred".