139734144 has 96 divisors (see below), whose sum is σ = 438693840. Its totient is φ = 42339840.

The previous prime is 139734107. The next prime is 139734157. The reversal of 139734144 is 441437931.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 139734099 and 139734108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7159 + ... + 18185.

Almost surely, 2^139734144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139734144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219346920).

139734144 is an abundant number, since it is smaller than the sum of its proper divisors (298959696).

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

139734144 is a wasteful number, since it uses less digits than its factorization.

139734144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11058 (or 11043 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 139734144 is about 11820.9197611692. The cubic root of 139734144 is about 518.9205219827.

The spelling of 139734144 in words is "one hundred thirty-nine million, seven hundred thirty-four thousand, one hundred forty-four".