139957512228864 has 1872 divisors, whose sum is σ = 491820797692224. Its totient is φ = 39599509340160.

The previous prime is 139957512228851. The next prime is 139957512228871. The reversal of 139957512228864 is 468822215759931.

It is a happy number.

139957512228864 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 5 + 7 + 512 + 2 + 28 + 86 + 4 = 666.

It is a super-2 number, since 2×139957512228864² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 139957512228792 and 139957512228801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 403335769939 + ... + 403335770285.

It is an arithmetic number, because the mean of its divisors is an integer number (262724785092).

Almost surely, 2^{139957512228864} 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 139957512228864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245910398846112).

139957512228864 is an abundant number, since it is smaller than the sum of its proper divisors (351863285463360).

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

139957512228864 is a wasteful number, since it uses less digits than its factorization.

139957512228864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 577 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 72.

The spelling of 139957512228864 in words is "one hundred thirty-nine trillion, nine hundred fifty-seven billion, five hundred twelve million, two hundred twenty-eight thousand, eight hundred sixty-four".