139954006656 has 256 divisors, whose sum is σ = 428090572800. Its totient is φ = 44965739520.

The previous prime is 139954006651. The next prime is 139954006691. The reversal of 139954006656 is 656600459931.

139954006656 is a `hidden beast` number, since 1 + 3 + 99 + 540 + 0 + 6 + 6 + 5 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (139954006651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28174285 + ... + 28179251.

It is an arithmetic number, because the mean of its divisors is an integer number (1672228800).

Almost surely, 2^139954006656 is an apocalyptic number.

139954006656 is a gapful number since it is divisible by the number (16) 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 139954006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214045286400).

139954006656 is an abundant number, since it is smaller than the sum of its proper divisors (288136566144).

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

139954006656 is a wasteful number, since it uses less digits than its factorization.

139954006656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5284 (or 5266 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 139954006656 in words is "one hundred thirty-nine billion, nine hundred fifty-four million, six thousand, six hundred fifty-six".