145090608000 has 512 divisors, whose sum is σ = 521624638080. Its totient is φ = 35463168000.

The previous prime is 145090607957. The next prime is 145090608017. The reversal of 145090608000 is 806090541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97967260 + ... + 97968740.

Almost surely, 2^145090608000 is an apocalyptic number.

145090608000 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 145090608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260812319040).

145090608000 is an abundant number, since it is smaller than the sum of its proper divisors (376534030080).

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

145090608000 is a wasteful number, since it uses less digits than its factorization.

145090608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

Adding to 145090608000 its reverse (806090541), we get a palindrome (145896698541).

The spelling of 145090608000 in words is "one hundred forty-five billion, ninety million, six hundred eight thousand".