145203840000 has 550 divisors, whose sum is σ = 542028818694. Its totient is φ = 38707200000.

The previous prime is 145203839999. The next prime is 145203840013. The reversal of 145203840000 is 48302541.

It can be written as a sum of positive squares in 5 ways, for example, as 56180376576 + 89023463424 = 237024^2 + 298368^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 51838600 + ... + 51841400.

Almost surely, 2^145203840000 is an apocalyptic number.

145203840000 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 145203840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271014409347).

145203840000 is an abundant number, since it is smaller than the sum of its proper divisors (396824978694).

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

145203840000 is an frugal number, since it uses more digits than its factorization.

145203840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2853 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 145203840000 in words is "one hundred forty-five billion, two hundred three million, eight hundred forty thousand".