139513968 has 240 divisors, whose sum is σ = 469032480. Its totient is φ = 39536640.

The previous prime is 139513963. The next prime is 139513993. The reversal of 139513968 is 869315931.

It is a super-3 number, since 3×139513968³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139513961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 888546 + ... + 888702.

It is an arithmetic number, because the mean of its divisors is an integer number (1954302).

Almost surely, 2^139513968 is an apocalyptic number.

139513968 is a gapful number since it is divisible by the number (18) 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 139513968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234516240).

139513968 is an abundant number, since it is smaller than the sum of its proper divisors (329518512).

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

139513968 is a wasteful number, since it uses less digits than its factorization.

139513968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 190 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 139513968 is about 11811.6031088079. The cubic root of 139513968 is about 518.6478281770.

The spelling of 139513968 in words is "one hundred thirty-nine million, five hundred thirteen thousand, nine hundred sixty-eight".