146136482400 has 288 divisors, whose sum is σ = 483861530880. Its totient is φ = 38304737280.

The previous prime is 146136482381. The next prime is 146136482423. The reversal of 146136482400 is 4284631641.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34358674 + ... + 34362926.

It is an arithmetic number, because the mean of its divisors is an integer number (1680074760).

Almost surely, 2^146136482400 is an apocalyptic number.

146136482400 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 146136482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241930765440).

146136482400 is an abundant number, since it is smaller than the sum of its proper divisors (337725048480).

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

146136482400 is a wasteful number, since it uses less digits than its factorization.

146136482400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4518 (or 4505 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 146136482400 in words is "one hundred forty-six billion, one hundred thirty-six million, four hundred eighty-two thousand, four hundred".