145537441424256 has 512 divisors, whose sum is σ = 460719866880000. Its totient is φ = 39831487119360.

The previous prime is 145537441424209. The next prime is 145537441424257. The reversal of 145537441424256 is 652424144735541.

It is a super-2 number, since 2×145537441424256² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145537441424196 and 145537441424205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145537441424257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3984143400 + ... + 3984179928.

It is an arithmetic number, because the mean of its divisors is an integer number (899843490000).

Almost surely, 2^{145537441424256} is an apocalyptic number.

145537441424256 is a gapful number since it is divisible by the number (16) 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 145537441424256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230359933440000).

145537441424256 is an abundant number, since it is smaller than the sum of its proper divisors (315182425455744).

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

145537441424256 is a wasteful number, since it uses less digits than its factorization.

145537441424256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37070 (or 37058 counting only the distinct ones).

The product of its digits is 64512000, while the sum is 57.

The spelling of 145537441424256 in words is "one hundred forty-five trillion, five hundred thirty-seven billion, four hundred forty-one million, four hundred twenty-four thousand, two hundred fifty-six".