146138985200 has 120 divisors (see below), whose sum is σ = 378578123616. Its totient is φ = 53891712000.

The previous prime is 146138985191. The next prime is 146138985221. The reversal of 146138985200 is 2589831641.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4252085 + ... + 4286315.

Almost surely, 2^146138985200 is an apocalyptic number.

146138985200 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 146138985200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189289061808).

146138985200 is an abundant number, since it is smaller than the sum of its proper divisors (232439138416).

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

146138985200 is a wasteful number, since it uses less digits than its factorization.

146138985200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35083 (or 35072 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 47.

The spelling of 146138985200 in words is "one hundred forty-six billion, one hundred thirty-eight million, nine hundred eighty-five thousand, two hundred".