136014984000 has 1344 divisors, whose sum is σ = 591925501440. Its totient is φ = 30481920000.

The previous prime is 136014983981. The next prime is 136014984019. The reversal of 136014984000 is 489410631.

136014984000 is a `hidden beast` number, since 1 + 3 + 601 + 4 + 9 + 8 + 40 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (136014983981) and next prime (136014984019).

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 751463910 + ... + 751464090.

It is an arithmetic number, because the mean of its divisors is an integer number (440420760).

Almost surely, 2^136014984000 is an apocalyptic number.

136014984000 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 136014984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295962750720).

136014984000 is an abundant number, since it is smaller than the sum of its proper divisors (455910517440).

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

136014984000 is a wasteful number, since it uses less digits than its factorization.

136014984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 136014984000 in words is "one hundred thirty-six billion, fourteen million, nine hundred eighty-four thousand".