139734346752 has 1848 divisors, whose sum is σ = 599901811488. Its totient is φ = 31531991040.

The previous prime is 139734346747. The next prime is 139734346799. The reversal of 139734346752 is 257643437931.

139734346752 is a `hidden beast` number, since 1 + 3 + 97 + 3 + 43 + 467 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1848).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 167 ways as a sum of consecutive naturals, for example, 8219667448 + ... + 8219667464.

Almost surely, 2^139734346752 is an apocalyptic number.

139734346752 is a gapful number since it is divisible by the number (12) 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 139734346752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299950905744).

139734346752 is an abundant number, since it is smaller than the sum of its proper divisors (460167464736).

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

139734346752 is a wasteful number, since it uses less digits than its factorization.

139734346752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 53 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 54.

The spelling of 139734346752 in words is "one hundred thirty-nine billion, seven hundred thirty-four million, three hundred forty-six thousand, seven hundred fifty-two".