146266520400 has 1440 divisors, whose sum is σ = 700570660608. Its totient is φ = 27271987200.

The previous prime is 146266520399. The next prime is 146266520483. The reversal of 146266520400 is 4025662641.

146266520400 is a `hidden beast` number, since 1 + 4 + 626 + 6 + 5 + 20 + 4 + 0 + 0 = 666.

146266520400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 133332652 + ... + 133333748.

Almost surely, 2^146266520400 is an apocalyptic number.

146266520400 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 146266520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350285330304).

146266520400 is an abundant number, since it is smaller than the sum of its proper divisors (554304140208).

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

146266520400 is a wasteful number, since it uses less digits than its factorization.

146266520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

It can be divided in two parts, 146266 and 520400, that added together give a palindrome (666666).

The spelling of 146266520400 in words is "one hundred forty-six billion, two hundred sixty-six million, five hundred twenty thousand, four hundred".