1453516144152 has 128 divisors (see below), whose sum is σ = 3980413483200. Its totient is φ = 440477696000.

The previous prime is 1453516144147. The next prime is 1453516144153. The reversal of 1453516144152 is 2514416153541.

It is a happy number.

It is a super-2 number, since 2×1453516144152² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1453516144153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1259374 + ... + 2119682.

Almost surely, 2^{1453516144152} is an apocalyptic number.

1453516144152 is a gapful number since it is divisible by the number (12) 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 1453516144152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990206741600).

1453516144152 is an abundant number, since it is smaller than the sum of its proper divisors (2526897339048).

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

1453516144152 is a wasteful number, since it uses less digits than its factorization.

1453516144152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860477 (or 860473 counting only the distinct ones).

The product of its digits is 288000, while the sum is 42.

The spelling of 1453516144152 in words is "one trillion, four hundred fifty-three billion, five hundred sixteen million, one hundred forty-four thousand, one hundred fifty-two".