1145013134400 has 252 divisors, whose sum is σ = 4078575606612. Its totient is φ = 304666951680.

The previous prime is 1145013134383. The next prime is 1145013134437. The reversal of 1145013134400 is 44313105411.

1145013134400 is a `hidden beast` number, since 11 + 450 + 131 + 34 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 23379633216 + 1121633501184 = 152904^2 + 1059072^2 .

It is a super-2 number, since 2×1145013134400² (a number of 25 digits) contains 22 as substring.

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, 6493804 + ... + 6667796.

Almost surely, 2^{1145013134400} is an apocalyptic number.

1145013134400 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 1145013134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039287803306).

1145013134400 is an abundant number, since it is smaller than the sum of its proper divisors (2933562472212).

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

1145013134400 is a wasteful number, since it uses less digits than its factorization.

1145013134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174478 (or 174460 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1145013134400 its reverse (44313105411), we get a palindrome (1189326239811).

The spelling of 1145013134400 in words is "one trillion, one hundred forty-five billion, thirteen million, one hundred thirty-four thousand, four hundred".