140198947200 has 1536 divisors, whose sum is σ = 592412083200. Its totient is φ = 32517365760.

The previous prime is 140198947153. The next prime is 140198947243. The reversal of 140198947200 is 2749891041.

It is a happy number.

140198947200 is a `hidden beast` number, since 1 + 401 + 98 + 94 + 72 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2092521567 + ... + 2092521633.

It is an arithmetic number, because the mean of its divisors is an integer number (385684950).

Almost surely, 2^140198947200 is an apocalyptic number.

140198947200 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 140198947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296206041600).

140198947200 is an abundant number, since it is smaller than the sum of its proper divisors (452213136000).

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

140198947200 is an equidigital number, since it uses as much as digits as its factorization.

140198947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 140198947200 in words is "one hundred forty billion, one hundred ninety-eight million, nine hundred forty-seven thousand, two hundred".