192139200 has 252 divisors, whose sum is σ = 745604808. Its totient is φ = 46540800.

The previous prime is 192139177. The next prime is 192139201. The reversal of 192139200 is 2931291.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192139201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 157794 + ... + 159006.

Almost surely, 2^192139200 is an apocalyptic number.

192139200 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 192139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372802404).

192139200 is an abundant number, since it is smaller than the sum of its proper divisors (553465608).

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

192139200 is a wasteful number, since it uses less digits than its factorization.

192139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 192139200 is about 13861.4284978136. The cubic root of 192139200 is about 577.0392119024.

The spelling of 192139200 in words is "one hundred ninety-two million, one hundred thirty-nine thousand, two hundred".