145181279232000 has 5376 divisors, whose sum is σ = 643018018406400. Its totient is φ = 32328253440000.

The previous prime is 145181279231959. The next prime is 145181279232013. The reversal of 145181279232000 is 232972181541.

145181279232000 is a `hidden beast` number, since 1 + 4 + 51 + 8 + 1 + 279 + 2 + 320 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2460699647971 + ... + 2460699648029.

It is an arithmetic number, because the mean of its divisors is an integer number (119609006400).

Almost surely, 2^{145181279232000} is an apocalyptic number.

145181279232000 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 145181279232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321509009203200).

145181279232000 is an abundant number, since it is smaller than the sum of its proper divisors (497836739174400).

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

145181279232000 is an equidigital number, since it uses as much as digits as its factorization.

145181279232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 145181279232000 in words is "one hundred forty-five trillion, one hundred eighty-one billion, two hundred seventy-nine million, two hundred thirty-two thousand".