136073338285248 has 784 divisors, whose sum is σ = 524496630577920. Its totient is φ = 33998639265792.

The previous prime is 136073338285237. The next prime is 136073338285307. The reversal of 136073338285248 is 842582833370631.

136073338285248 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 7 + 3 + 3 + 382 + 8 + 5 + 248 = 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 111 ways as a sum of consecutive naturals, for example, 79824811 + ... + 81511637.

Almost surely, 2^{136073338285248} is an apocalyptic number.

136073338285248 is a gapful number since it is divisible by the number (18) 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 136073338285248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262248315288960).

136073338285248 is an abundant number, since it is smaller than the sum of its proper divisors (388423292292672).

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

136073338285248 is a wasteful number, since it uses less digits than its factorization.

136073338285248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686896 (or 1686871 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 136073338285248 in words is "one hundred thirty-six trillion, seventy-three billion, three hundred thirty-eight million, two hundred eighty-five thousand, two hundred forty-eight".