8136521245440 has 1152 divisors, whose sum is σ = 34521609830400. Its totient is φ = 1774331412480.

The previous prime is 8136521245421. The next prime is 8136521245441. The reversal of 8136521245440 is 445421256318.

8136521245440 is a `hidden beast` number, since 8 + 1 + 3 + 65 + 21 + 24 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8136521245441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2442664575 + ... + 2442667905.

It is an arithmetic number, because the mean of its divisors is an integer number (29966675200).

Almost surely, 2^{8136521245440} is an apocalyptic number.

8136521245440 is a gapful number since it is divisible by the number (80) 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 8136521245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17260804915200).

8136521245440 is an abundant number, since it is smaller than the sum of its proper divisors (26385088584960).

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

8136521245440 is a wasteful number, since it uses less digits than its factorization.

8136521245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830 (or 3810 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 8136521245440 in words is "eight trillion, one hundred thirty-six billion, five hundred twenty-one million, two hundred forty-five thousand, four hundred forty".