145126162932800 has 252 divisors, whose sum is σ = 415462769907444. Its totient is φ = 49750415769600.

The previous prime is 145126162932757. The next prime is 145126162932823. The reversal of 145126162932800 is 8239261621541.

It can be written as a sum of positive squares in 6 ways, for example, as 15879459889216 + 129246703043584 = 3984904^2 + 11368672^2 .

It is a super-2 number, since 2×145126162932800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 562547840 + ... + 562805760.

It is an arithmetic number, because the mean of its divisors is an integer number (1648661785347).

Almost surely, 2^{145126162932800} is an apocalyptic number.

145126162932800 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 145126162932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207731384953722).

145126162932800 is an abundant number, since it is smaller than the sum of its proper divisors (270336606974644).

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

145126162932800 is a wasteful number, since it uses less digits than its factorization.

145126162932800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265134 (or 265112 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 50.

The spelling of 145126162932800 in words is "one hundred forty-five trillion, one hundred twenty-six billion, one hundred sixty-two million, nine hundred thirty-two thousand, eight hundred".