136972200960000 has 3360 divisors, whose sum is σ = 600144496411680. Its totient is φ = 30767579136000.

The previous prime is 136972200959969. The next prime is 136972200960071. The reversal of 136972200960000 is 69002279631.

It is a happy number.

136972200960000 is a `hidden beast` number, since 1 + 36 + 9 + 7 + 2 + 2 + 0 + 0 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×136972200960000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 494484479862 + ... + 494484480138.

Almost surely, 2^{136972200960000} is an apocalyptic number.

136972200960000 is a gapful number since it is divisible by the number (10) 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 136972200960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300072248205840).

136972200960000 is an abundant number, since it is smaller than the sum of its proper divisors (463172295451680).

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

136972200960000 is an frugal number, since it uses more digits than its factorization.

136972200960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 136972200960000 in words is "one hundred thirty-six trillion, nine hundred seventy-two billion, two hundred million, nine hundred sixty thousand".