145011405344000 has 144 divisors (see below), whose sum is σ = 389029348802640. Its totient is φ = 53542672588800.

The previous prime is 145011405343997. The next prime is 145011405344017. The reversal of 145011405344000 is 443504110541.

It can be written as a sum of positive squares in 8 ways, for example, as 78120991377664 + 66890413966336 = 8838608^2 + 8178656^2 .

It is a super-3 number, since 3×145011405344000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173876555 + ... + 174708554.

Almost surely, 2^{145011405344000} is an apocalyptic number.

145011405344000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145011405344000 is an abundant number, since it is smaller than the sum of its proper divisors (244017943458640).

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

145011405344000 is an equidigital number, since it uses as much as digits as its factorization.

145011405344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348585153 (or 348585129 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 145011405344000 its reverse (443504110541), we get a palindrome (145454909454541).

The spelling of 145011405344000 in words is "one hundred forty-five trillion, eleven billion, four hundred five million, three hundred forty-four thousand".