145220354030500 has 432 divisors, whose sum is σ = 396884375596800. Its totient is φ = 46267666099200.

The previous prime is 145220354030443. The next prime is 145220354030567. The reversal of 145220354030500 is 5030453022541.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 559229691 + ... + 559489309.

It is an arithmetic number, because the mean of its divisors is an integer number (918713832400).

Almost surely, 2^{145220354030500} is an apocalyptic number.

145220354030500 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 145220354030500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198442187798400).

145220354030500 is an abundant number, since it is smaller than the sum of its proper divisors (251664021566300).

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

145220354030500 is a wasteful number, since it uses less digits than its factorization.

145220354030500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259765 (or 259729 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The spelling of 145220354030500 in words is "one hundred forty-five trillion, two hundred twenty billion, three hundred fifty-four million, thirty thousand, five hundred".