146014645500 has 288 divisors, whose sum is σ = 470283952320. Its totient is φ = 38126323200.

The previous prime is 146014645433. The next prime is 146014645507. The reversal of 146014645500 is 5546410641.

146014645500 is a `hidden beast` number, since 1 + 4 + 6 + 0 + 1 + 4 + 645 + 5 + 0 + 0 = 666.

146014645500 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 not an unprimeable number, because it can be changed into a prime (146014645507) 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 95 ways as a sum of consecutive naturals, for example, 77790562 + ... + 77792438.

It is an arithmetic number, because the mean of its divisors is an integer number (1632930390).

Almost surely, 2^146014645500 is an apocalyptic number.

146014645500 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 146014645500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235141976160).

146014645500 is an abundant number, since it is smaller than the sum of its proper divisors (324269306820).

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

146014645500 is a wasteful number, since it uses less digits than its factorization.

146014645500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 146014645500 in words is "one hundred forty-six billion, fourteen million, six hundred forty-five thousand, five hundred".