136972398280212 has 2304 divisors, whose sum is σ = 454948264673280. Its totient is φ = 35407798272000.

The previous prime is 136972398280121. The next prime is 136972398280259. The reversal of 136972398280212 is 212082893279631.

136972398280212 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 7 + 2 + 398 + 28 + 0 + 212 = 666.

It is a super-2 number, since 2×136972398280212² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 136972398280212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1212145117468 + ... + 1212145117580.

It is an arithmetic number, because the mean of its divisors is an integer number (197460184320).

Almost surely, 2^{136972398280212} is an apocalyptic number.

136972398280212 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 136972398280212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227474132336640).

136972398280212 is an abundant number, since it is smaller than the sum of its proper divisors (317975866393068).

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

136972398280212 is a wasteful number, since it uses less digits than its factorization.

136972398280212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 136972398280212 in words is "one hundred thirty-six trillion, nine hundred seventy-two billion, three hundred ninety-eight million, two hundred eighty thousand, two hundred twelve".