139431729507840 has 7200 divisors, whose sum is σ = 691862757949440. Its totient is φ = 26652415426560.

The previous prime is 139431729507701. The next prime is 139431729507869. The reversal of 139431729507840 is 48705927134931.

139431729507840 is a `hidden beast` number, since 1 + 3 + 9 + 43 + 1 + 7 + 2 + 9 + 507 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1097887633857 + ... + 1097887633983.

Almost surely, 2^{139431729507840} is an apocalyptic number.

139431729507840 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 139431729507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345931378974720).

139431729507840 is an abundant number, since it is smaller than the sum of its proper divisors (552431028441600).

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

139431729507840 is a wasteful number, since it uses less digits than its factorization.

139431729507840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 139431729507840 in words is "one hundred thirty-nine trillion, four hundred thirty-one billion, seven hundred twenty-nine million, five hundred seven thousand, eight hundred forty".