145499328000 has 1600 divisors, whose sum is σ = 622868133888. Its totient is φ = 33443020800.

The previous prime is 145499327999. The next prime is 145499328077. The reversal of 145499328000 is 823994541.

145499328000 is a `hidden beast` number, since 1 + 454 + 99 + 32 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1145663937 + ... + 1145664063.

Almost surely, 2^145499328000 is an apocalyptic number.

145499328000 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 145499328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311434066944).

145499328000 is an abundant number, since it is smaller than the sum of its proper divisors (477368805888).

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

145499328000 is a wasteful number, since it uses less digits than its factorization.

145499328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 145499328000 in words is "one hundred forty-five billion, four hundred ninety-nine million, three hundred twenty-eight thousand".