136861787878200 has 2880 divisors, whose sum is σ = 660744192477600. Its totient is φ = 25842165350400.

The previous prime is 136861787878141. The next prime is 136861787878223. The reversal of 136861787878200 is 2878787168631.

It is a happy number.

136861787878200 is a `hidden beast` number, since 1 + 368 + 6 + 178 + 7 + 8 + 78 + 20 + 0 = 666.

It is a super-2 number, since 2×136861787878200² (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 zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 4304761504 + ... + 4304793296.

Almost surely, 2^{136861787878200} is an apocalyptic number.

136861787878200 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 136861787878200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330372096238800).

136861787878200 is an abundant number, since it is smaller than the sum of its proper divisors (523882404599400).

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

136861787878200 is a wasteful number, since it uses less digits than its factorization.

136861787878200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31892 (or 31867 counting only the distinct ones).

The product of its (nonzero) digits is 303464448, while the sum is 72.

The spelling of 136861787878200 in words is "one hundred thirty-six trillion, eight hundred sixty-one billion, seven hundred eighty-seven million, eight hundred seventy-eight thousand, two hundred".