145415430112000 has 144 divisors (see below), whose sum is σ = 362269134968832. Its totient is φ = 58162780569600.

The previous prime is 145415430111979. The next prime is 145415430112019. The reversal of 145415430112000 is 211034514541.

It is a super-2 number, since 2×145415430112000² (a number of 29 digits) contains 22 as substring.

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, 589732737 + ... + 589979263.

It is an arithmetic number, because the mean of its divisors is an integer number (2515757881728).

Almost surely, 2^{145415430112000} is an apocalyptic number.

145415430112000 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 145415430112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181134567484416).

145415430112000 is an abundant number, since it is smaller than the sum of its proper divisors (216853704856832).

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

145415430112000 is an equidigital number, since it uses as much as digits as its factorization.

145415430112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264991 (or 264967 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

Adding to 145415430112000 its reverse (211034514541), we get a palindrome (145626464626541).

The spelling of 145415430112000 in words is "one hundred forty-five trillion, four hundred fifteen billion, four hundred thirty million, one hundred twelve thousand".