146027603456 has 160 divisors (see below), whose sum is σ = 339934224960. Its totient is φ = 61378560000.

The previous prime is 146027603413. The next prime is 146027603473. The reversal of 146027603456 is 654306720641.

146027603456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×146027603456² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39454406 + ... + 39458106.

It is an arithmetic number, because the mean of its divisors is an integer number (2124588906).

Almost surely, 2^146027603456 is an apocalyptic number.

146027603456 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 146027603456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169967112480).

146027603456 is an abundant number, since it is smaller than the sum of its proper divisors (193906621504).

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

146027603456 is a wasteful number, since it uses less digits than its factorization.

146027603456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936 (or 3920 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 146027603456 in words is "one hundred forty-six billion, twenty-seven million, six hundred three thousand, four hundred fifty-six".