145068924000 has 1152 divisors, whose sum is σ = 642288890880. Its totient is φ = 27795456000.

The previous prime is 145068923971. The next prime is 145068924019. The reversal of 145068924000 is 429860541.

145068924000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 145068924000.

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, 156155536 + ... + 156156464.

It is an arithmetic number, because the mean of its divisors is an integer number (557542440).

Almost surely, 2^145068924000 is an apocalyptic number.

145068924000 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 145068924000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321144445440).

145068924000 is an abundant number, since it is smaller than the sum of its proper divisors (497219966880).

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

145068924000 is a wasteful number, since it uses less digits than its factorization.

145068924000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 145068924000 in words is "one hundred forty-five billion, sixty-eight million, nine hundred twenty-four thousand".