136378620000 has 960 divisors, whose sum is σ = 575005939200. Its totient is φ = 30792960000.

The previous prime is 136378619969. The next prime is 136378620029. The reversal of 136378620000 is 26873631.

It is a happy number.

136378620000 is a `hidden beast` number, since 13 + 637 + 8 + 6 + 2 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 412019835 + ... + 412020165.

It is an arithmetic number, because the mean of its divisors is an integer number (598964520).

Almost surely, 2^136378620000 is an apocalyptic number.

136378620000 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 136378620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287502969600).

136378620000 is an abundant number, since it is smaller than the sum of its proper divisors (438627319200).

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

136378620000 is a wasteful number, since it uses less digits than its factorization.

136378620000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 136378620000 in words is "one hundred thirty-six billion, three hundred seventy-eight million, six hundred twenty thousand".