139212141191424 has 288 divisors, whose sum is σ = 470982448957440. Its totient is φ = 39732883458048.

The previous prime is 139212141191339. The next prime is 139212141191443. The reversal of 139212141191424 is 424191141212931.

139212141191424 is a `hidden beast` number, since 1 + 3 + 9 + 2 + 1 + 214 + 1 + 1 + 9 + 1 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×139212141191424² (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 139212141191424.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44300517 + ... + 47338779.

Almost surely, 2^{139212141191424} is an apocalyptic number.

139212141191424 is a gapful number since it is divisible by the number (14) 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 139212141191424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235491224478720).

139212141191424 is an abundant number, since it is smaller than the sum of its proper divisors (331770307766016).

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

139212141191424 is an equidigital number, since it uses as much as digits as its factorization.

139212141191424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3039242 (or 3039222 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The spelling of 139212141191424 in words is "one hundred thirty-nine trillion, two hundred twelve billion, one hundred forty-one million, one hundred ninety-one thousand, four hundred twenty-four".