136061380627200 has 2160 divisors, whose sum is σ = 594258350406336. Its totient is φ = 30068991590400.

The previous prime is 136061380627169. The next prime is 136061380627267. The reversal of 136061380627200 is 2726083160631.

136061380627200 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 6 + 1 + 380 + 62 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 16812226354 + ... + 16812234446.

Almost surely, 2^{136061380627200} is an apocalyptic number.

136061380627200 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 136061380627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297129175203168).

136061380627200 is an abundant number, since it is smaller than the sum of its proper divisors (458196969779136).

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

136061380627200 is a wasteful number, since it uses less digits than its factorization.

136061380627200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8292 (or 8264 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 136061380627200 in words is "one hundred thirty-six trillion, sixty-one billion, three hundred eighty million, six hundred twenty-seven thousand, two hundred".