146491027200 has 1620 divisors, whose sum is σ = 646791831840. Its totient is φ = 32606945280.

The previous prime is 146491027171. The next prime is 146491027201. The reversal of 146491027200 is 2720194641.

It is a happy number.

146491027200 is a `hidden beast` number, since 1 + 4 + 649 + 1 + 0 + 2 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a super-3 number, since 3×146491027200³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (146491027201) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1854316761 + ... + 1854316839.

Almost surely, 2^146491027200 is an apocalyptic number.

146491027200 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 146491027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323395915920).

146491027200 is an abundant number, since it is smaller than the sum of its proper divisors (500300804640).

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

146491027200 is an equidigital number, since it uses as much as digits as its factorization.

146491027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 146491027200 in words is "one hundred forty-six billion, four hundred ninety-one million, twenty-seven thousand, two hundred".