139728186000 has 960 divisors, whose sum is σ = 553082100480. Its totient is φ = 33696000000.

The previous prime is 139728185963. The next prime is 139728186097. The reversal of 139728186000 is 681827931.

139728186000 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 28 + 18 + 600 + 0 = 666.

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

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, 556685875 + ... + 556686125.

It is an arithmetic number, because the mean of its divisors is an integer number (576127188).

Almost surely, 2^139728186000 is an apocalyptic number.

139728186000 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 139728186000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276541050240).

139728186000 is an abundant number, since it is smaller than the sum of its proper divisors (413353914480).

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

139728186000 is a wasteful number, since it uses less digits than its factorization.

139728186000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 335 counting only the distinct ones).

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

The spelling of 139728186000 in words is "one hundred thirty-nine billion, seven hundred twenty-eight million, one hundred eighty-six thousand".