145250777088000 has 360 divisors, whose sum is σ = 523661553411360. Its totient is φ = 38733535641600.

The previous prime is 145250777087993. The next prime is 145250777088049. The reversal of 145250777088000 is 880777052541.

145250777088000 is a `hidden beast` number, since 1 + 4 + 52 + 507 + 7 + 7 + 0 + 8 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14491821 + ... + 22372179.

Almost surely, 2^{145250777088000} is an apocalyptic number.

145250777088000 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 145250777088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261830776705680).

145250777088000 is an abundant number, since it is smaller than the sum of its proper divisors (378410776323360).

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

145250777088000 is an frugal number, since it uses more digits than its factorization.

145250777088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7880408 (or 7880369 counting only the distinct ones).

The product of its (nonzero) digits is 4390400, while the sum is 54.

The spelling of 145250777088000 in words is "one hundred forty-five trillion, two hundred fifty billion, seven hundred seventy-seven million, eighty-eight thousand".