146528152800 has 288 divisors, whose sum is σ = 485415431424. Its totient is φ = 38384640000.

The previous prime is 146528152783. The next prime is 146528152807. The reversal of 146528152800 is 8251825641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146528152807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52311400 + ... + 52314200.

It is an arithmetic number, because the mean of its divisors is an integer number (1685470248).

Almost surely, 2^146528152800 is an apocalyptic number.

146528152800 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 146528152800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242707715712).

146528152800 is an abundant number, since it is smaller than the sum of its proper divisors (338887278624).

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

146528152800 is a wasteful number, since it uses less digits than its factorization.

146528152800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The spelling of 146528152800 in words is "one hundred forty-six billion, five hundred twenty-eight million, one hundred fifty-two thousand, eight hundred".