146456155888 has 160 divisors (see below), whose sum is σ = 344878819200. Its totient is φ = 58925088768.

The previous prime is 146456155877. The next prime is 146456155897. The reversal of 146456155888 is 888551654641.

146456155888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 19448508 + ... + 19456036.

It is an arithmetic number, because the mean of its divisors is an integer number (2155492620).

Almost surely, 2^146456155888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146456155888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172439409600).

146456155888 is an abundant number, since it is smaller than the sum of its proper divisors (198422663312).

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

146456155888 is a wasteful number, since it uses less digits than its factorization.

146456155888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7739 (or 7733 counting only the distinct ones).

The product of its digits is 36864000, while the sum is 61.

The spelling of 146456155888 in words is "one hundred forty-six billion, four hundred fifty-six million, one hundred fifty-five thousand, eight hundred eighty-eight".