145182400000 has 480 divisors, whose sum is σ = 404506672416. Its totient is φ = 51609600000.

The previous prime is 145182399997. The next prime is 145182400019. The reversal of 145182400000 is 4281541.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1284799944 + ... + 1284800056.

Almost surely, 2^145182400000 is an apocalyptic number.

145182400000 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 145182400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202253336208).

145182400000 is an abundant number, since it is smaller than the sum of its proper divisors (259324272416).

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

145182400000 is an frugal number, since it uses more digits than its factorization.

145182400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 145182400000 its reverse (4281541), we get a palindrome (145186681541).

The spelling of 145182400000 in words is "one hundred forty-five billion, one hundred eighty-two million, four hundred thousand".