146821248000 has 1980 divisors, whose sum is σ = 676146870828. Its totient is φ = 31585075200.

The previous prime is 146821247999. The next prime is 146821248059. The reversal of 146821248000 is 842128641.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 13672157184 + 133149090816 = 116928^2 + 364896^2 .

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 polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 8636543992 + ... + 8636544008.

Almost surely, 2^146821248000 is an apocalyptic number.

146821248000 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 146821248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338073435414).

146821248000 is an abundant number, since it is smaller than the sum of its proper divisors (529325622828).

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

146821248000 is an equidigital number, since it uses as much as digits as its factorization.

146821248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 146821248000 in words is "one hundred forty-six billion, eight hundred twenty-one million, two hundred forty-eight thousand".