145430054101200 has 480 divisors, whose sum is σ = 511667201203200. Its totient is φ = 35016547328000.

The previous prime is 145430054101133. The next prime is 145430054101217. The reversal of 145430054101200 is 2101450034541.

It is a super-2 number, since 2×145430054101200² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1982352520 + ... + 1982425880.

It is an arithmetic number, because the mean of its divisors is an integer number (1065973335840).

Almost surely, 2^{145430054101200} is an apocalyptic number.

145430054101200 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 145430054101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255833600601600).

145430054101200 is an abundant number, since it is smaller than the sum of its proper divisors (366237147102000).

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

145430054101200 is a wasteful number, since it uses less digits than its factorization.

145430054101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74411 (or 74400 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 145430054101200 in words is "one hundred forty-five trillion, four hundred thirty billion, fifty-four million, one hundred one thousand, two hundred".