145501488000 has 1024 divisors, whose sum is σ = 594675993600. Its totient is φ = 34670592000.

The previous prime is 145501487987. The next prime is 145501488017. The reversal of 145501488000 is 884105541.

145501488000 is a `hidden beast` number, since 14 + 550 + 14 + 8 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 318383772 + ... + 318384228.

It is an arithmetic number, because the mean of its divisors is an integer number (580738275).

Almost surely, 2^145501488000 is an apocalyptic number.

145501488000 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 145501488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297337996800).

145501488000 is an abundant number, since it is smaller than the sum of its proper divisors (449174505600).

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

145501488000 is a wasteful number, since it uses less digits than its factorization.

145501488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 145501488000 in words is "one hundred forty-five billion, five hundred one million, four hundred eighty-eight thousand".