189139629600 has 432 divisors, whose sum is σ = 677459764800. Its totient is φ = 49648896000.

The previous prime is 189139629589. The next prime is 189139629629. The reversal of 189139629600 is 6926931981.

189139629600 is a `hidden beast` number, since 1 + 8 + 9 + 1 + 3 + 9 + 6 + 29 + 600 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 144712147 + ... + 144713453.

It is an arithmetic number, because the mean of its divisors is an integer number (1568193900).

Almost surely, 2^189139629600 is an apocalyptic number.

189139629600 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 189139629600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338729882400).

189139629600 is an abundant number, since it is smaller than the sum of its proper divisors (488320135200).

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

189139629600 is a wasteful number, since it uses less digits than its factorization.

189139629600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

It can be divided in two parts, 1891396 and 29600, that added together give a square (1920996 = 1386²).

The spelling of 189139629600 in words is "one hundred eighty-nine billion, one hundred thirty-nine million, six hundred twenty-nine thousand, six hundred".