136116483048000 has 7168 divisors, whose sum is σ = 679137456291840. Its totient is φ = 26207384371200.

The previous prime is 136116483047911. The next prime is 136116483048083. The reversal of 136116483048000 is 840384611631.

136116483048000 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 164 + 8 + 3 + 0 + 480 + 0 + 0 = 666.

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 1023 ways as a sum of consecutive naturals, for example, 1272116663947 + ... + 1272116664053.

It is an arithmetic number, because the mean of its divisors is an integer number (94745738880).

Almost surely, 2^{136116483048000} is an apocalyptic number.

136116483048000 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 136116483048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339568728145920).

136116483048000 is an abundant number, since it is smaller than the sum of its proper divisors (543020973243840).

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

136116483048000 is a wasteful number, since it uses less digits than its factorization.

136116483048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 136116483048000 in words is "one hundred thirty-six trillion, one hundred sixteen billion, four hundred eighty-three million, forty-eight thousand".