145838180800 has 504 divisors, whose sum is σ = 409503369968. Its totient is φ = 50783846400.

The previous prime is 145838180753. The next prime is 145838180809. The reversal of 145838180800 is 8081838541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145838180809) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1503486352 + ... + 1503486448.

Almost surely, 2^145838180800 is an apocalyptic number.

145838180800 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 145838180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204751684984).

145838180800 is an abundant number, since it is smaller than the sum of its proper divisors (263665189168).

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

145838180800 is a wasteful number, since it uses less digits than its factorization.

145838180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 46.

The spelling of 145838180800 in words is "one hundred forty-five billion, eight hundred thirty-eight million, one hundred eighty thousand, eight hundred".