145018447020 has 288 divisors, whose sum is σ = 465244416000. Its totient is φ = 36513607680.

The previous prime is 145018447009. The next prime is 145018447097. The reversal of 145018447020 is 20744810541.

It is a happy number.

145018447020 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 184 + 470 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45759996 + ... + 45763164.

It is an arithmetic number, because the mean of its divisors is an integer number (1615432000).

Almost surely, 2^145018447020 is an apocalyptic number.

145018447020 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 145018447020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232622208000).

145018447020 is an abundant number, since it is smaller than the sum of its proper divisors (320225968980).

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

145018447020 is a wasteful number, since it uses less digits than its factorization.

145018447020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3413 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 145018447020 in words is "one hundred forty-five billion, eighteen million, four hundred forty-seven thousand, twenty".