139832000 has 224 divisors, whose sum is σ = 433645056. Its totient is φ = 43392000.

The previous prime is 139831981. The next prime is 139832029. The reversal of 139832000 is 238931.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615887 + ... + 616113.

Almost surely, 2^139832000 is an apocalyptic number.

139832000 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 139832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216822528).

139832000 is an abundant number, since it is smaller than the sum of its proper divisors (293813056).

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

139832000 is a wasteful number, since it uses less digits than its factorization.

139832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 139832000 is about 11825.0581393920. The cubic root of 139832000 is about 519.0416272857.

The spelling of 139832000 in words is "one hundred thirty-nine million, eight hundred thirty-two thousand".