145252980864000 has 1408 divisors, whose sum is σ = 569169181900800. Its totient is φ = 36408301977600.

The previous prime is 145252980863987. The next prime is 145252980864007. The reversal of 145252980864000 is 468089252541.

145252980864000 is a `hidden beast` number, since 1 + 4 + 52 + 529 + 8 + 0 + 8 + 64 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145252980864007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75143807034 + ... + 75143808966.

Almost surely, 2^{145252980864000} is an apocalyptic number.

145252980864000 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 145252980864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284584590950400).

145252980864000 is an abundant number, since it is smaller than the sum of its proper divisors (423916201036800).

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

145252980864000 is a wasteful number, since it uses less digits than its factorization.

145252980864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 145252980864000 in words is "one hundred forty-five trillion, two hundred fifty-two billion, nine hundred eighty million, eight hundred sixty-four thousand".