202138290000 has 600 divisors, whose sum is σ = 744022236672. Its totient is φ = 51143040000.

The previous prime is 202138289993. The next prime is 202138290017. The reversal of 202138290000 is 92831202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 147869317 + ... + 147870683.

Almost surely, 2^202138290000 is an apocalyptic number.

202138290000 is a gapful number since it is divisible by the number (20) 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 202138290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372011118336).

202138290000 is an abundant number, since it is smaller than the sum of its proper divisors (541883946672).

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

202138290000 is a wasteful number, since it uses less digits than its factorization.

202138290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 202138290000 in words is "two hundred two billion, one hundred thirty-eight million, two hundred ninety thousand".