145240720000 has 80 divisors (see below), whose sum is σ = 361567894050. Its totient is φ = 58096256000.

The previous prime is 145240719991. The next prime is 145240720013. The reversal of 145240720000 is 27042541.

It can be written as a sum of positive squares in 5 ways, for example, as 2048105536 + 143192614464 = 45256^2 + 378408^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×145240720000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 827755 + ... + 987754.

Almost surely, 2^145240720000 is an apocalyptic number.

145240720000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145240720000 is an abundant number, since it is smaller than the sum of its proper divisors (216327174050).

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

145240720000 is an frugal number, since it uses more digits than its factorization.

145240720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815543 (or 1815516 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

Adding to 145240720000 its reverse (27042541), we get a palindrome (145267762541).

The spelling of 145240720000 in words is "one hundred forty-five billion, two hundred forty million, seven hundred twenty thousand".