136460445737616 has 960 divisors, whose sum is σ = 525883096327680. Its totient is φ = 31882346496000.

The previous prime is 136460445737599. The next prime is 136460445737659. The reversal of 136460445737616 is 616737544064631.

136460445737616 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 6 + 0 + 4 + 4 + 5 + 7 + 3 + 7 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 5206612320 + ... + 5206638528.

It is an arithmetic number, because the mean of its divisors is an integer number (547794892008).

Almost surely, 2^{136460445737616} is an apocalyptic number.

136460445737616 is a gapful number since it is divisible by the number (16) 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 136460445737616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262941548163840).

136460445737616 is an abundant number, since it is smaller than the sum of its proper divisors (389422650590064).

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

136460445737616 is a wasteful number, since it uses less digits than its factorization.

136460445737616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27176 (or 27167 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 63.

The spelling of 136460445737616 in words is "one hundred thirty-six trillion, four hundred sixty billion, four hundred forty-five million, seven hundred thirty-seven thousand, six hundred sixteen".