136853635634496 has 560 divisors, whose sum is σ = 447852774600000. Its totient is φ = 40975201935360.

The previous prime is 136853635634437. The next prime is 136853635634503. The reversal of 136853635634496 is 694436536358631.

136853635634496 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 53 + 6 + 3 + 56 + 34 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7607619870 + ... + 7607637858.

It is an arithmetic number, because the mean of its divisors is an integer number (799737097500).

Almost surely, 2^{136853635634496} is an apocalyptic number.

136853635634496 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 136853635634496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223926387300000).

136853635634496 is an abundant number, since it is smaller than the sum of its proper divisors (310999138965504).

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

136853635634496 is a wasteful number, since it uses less digits than its factorization.

136853635634496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19612 (or 19593 counting only the distinct ones).

The product of its digits is 3023308800, while the sum is 72.

The spelling of 136853635634496 in words is "one hundred thirty-six trillion, eight hundred fifty-three billion, six hundred thirty-five million, six hundred thirty-four thousand, four hundred ninety-six".