136003530007296 has 1728 divisors, whose sum is σ = 498302394670080. Its totient is φ = 36114003394560.

The previous prime is 136003530007283. The next prime is 136003530007327. The reversal of 136003530007296 is 692700035300631.

136003530007296 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 0 + 353 + 0 + 0 + 0 + 7 + 296 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 261043243516 + ... + 261043244036.

It is an arithmetic number, because the mean of its divisors is an integer number (288369441360).

Almost surely, 2^{136003530007296} is an apocalyptic number.

136003530007296 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 136003530007296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249151197335040).

136003530007296 is an abundant number, since it is smaller than the sum of its proper divisors (362298864662784).

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

136003530007296 is a wasteful number, since it uses less digits than its factorization.

136003530007296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 136003530007296 in words is "one hundred thirty-six trillion, three billion, five hundred thirty million, seven thousand, two hundred ninety-six".