145431212432000 has 128 divisors (see below), whose sum is σ = 394449111650880. Its totient is φ = 52884077184000.

The previous prime is 145431212431997. The next prime is 145431212432027. The reversal of 145431212432000 is 234212134541.

145431212432000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×145431212432000² (a number of 29 digits) contains 22 as substring.

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

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, 412980854 + ... + 413332853.

Almost surely, 2^{145431212432000} is an apocalyptic number.

145431212432000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145431212432000 is an abundant number, since it is smaller than the sum of its proper divisors (249017899218880).

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

145431212432000 is an equidigital number, since it uses as much as digits as its factorization.

145431212432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826313747 (or 826313725 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 145431212432000 its reverse (234212134541), we get a palindrome (145665424566541).

The spelling of 145431212432000 in words is "one hundred forty-five trillion, four hundred thirty-one billion, two hundred twelve million, four hundred thirty-two thousand".