145045004214000 has 160 divisors (see below), whose sum is σ = 510136465962240. Its totient is φ = 35162425248000.

The previous prime is 145045004213957. The next prime is 145045004214007. The reversal of 145045004214000 is 412400540541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145045004214007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1098759790 + ... + 1098891789.

It is an arithmetic number, because the mean of its divisors is an integer number (3188352912264).

Almost surely, 2^{145045004214000} is an apocalyptic number.

145045004214000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145045004214000 is an abundant number, since it is smaller than the sum of its proper divisors (365091461748240).

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

145045004214000 is a wasteful number, since it uses less digits than its factorization.

145045004214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197651616 (or 2197651600 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 145045004214000 its reverse (412400540541), we get a palindrome (145457404754541).

The spelling of 145045004214000 in words is "one hundred forty-five trillion, forty-five billion, four million, two hundred fourteen thousand".