145238845553280 has 384 divisors, whose sum is σ = 523628801579520. Its totient is φ = 37025522417664.

The previous prime is 145238845553251. The next prime is 145238845553353. The reversal of 145238845553280 is 82355548832541.

145238845553280 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 38 + 8 + 45 + 553 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235108489 + ... + 235725431.

It is an arithmetic number, because the mean of its divisors is an integer number (1363616670780).

Almost surely, 2^{145238845553280} is an apocalyptic number.

145238845553280 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 145238845553280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261814400789760).

145238845553280 is an abundant number, since it is smaller than the sum of its proper divisors (378389956026240).

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

145238845553280 is a wasteful number, since it uses less digits than its factorization.

145238845553280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618768 (or 618753 counting only the distinct ones).

The product of its (nonzero) digits is 184320000, while the sum is 63.

The spelling of 145238845553280 in words is "one hundred forty-five trillion, two hundred thirty-eight billion, eight hundred forty-five million, five hundred fifty-three thousand, two hundred eighty".