145930594032000 has 1536 divisors, whose sum is σ = 557975029248000. Its totient is φ = 37886015692800.

The previous prime is 145930594031993. The next prime is 145930594032073. The reversal of 145930594032000 is 230495039541.

145930594032000 is a `hidden beast` number, since 1 + 4 + 5 + 9 + 30 + 5 + 9 + 403 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 36364461994 + ... + 36364466006.

It is an arithmetic number, because the mean of its divisors is an integer number (363264993000).

Almost surely, 2^{145930594032000} is an apocalyptic number.

145930594032000 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 145930594032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278987514624000).

145930594032000 is an abundant number, since it is smaller than the sum of its proper divisors (412044435216000).

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

145930594032000 is an equidigital number, since it uses as much as digits as its factorization.

145930594032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4303 (or 4269 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 145930594032000 in words is "one hundred forty-five trillion, nine hundred thirty billion, five hundred ninety-four million, thirty-two thousand".