145768896000 has 1920 divisors, whose sum is σ = 676632692736. Its totient is φ = 30457036800.

The previous prime is 145768895999. The next prime is 145768896023. The reversal of 145768896000 is 698867541.

145768896000 is a `hidden beast` number, since 1 + 4 + 576 + 8 + 8 + 9 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1415231949 + ... + 1415232051.

Almost surely, 2^145768896000 is an apocalyptic number.

145768896000 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 145768896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338316346368).

145768896000 is an abundant number, since it is smaller than the sum of its proper divisors (530863796736).

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

145768896000 is an equidigital number, since it uses as much as digits as its factorization.

145768896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 145768896000 in words is "one hundred forty-five billion, seven hundred sixty-eight million, eight hundred ninety-six thousand".