136029362804640 has 288 divisors, whose sum is σ = 496921605014016. Its totient is φ = 35104351380480.

The previous prime is 136029362804633. The next prime is 136029362804669. The reversal of 136029362804640 is 46408263920631.

136029362804640 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 2 + 9 + 3 + 628 + 0 + 4 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55225327 + ... + 57635886.

It is an arithmetic number, because the mean of its divisors is an integer number (1725422239632).

Almost surely, 2^{136029362804640} is an apocalyptic number.

136029362804640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136029362804640 is an abundant number, since it is smaller than the sum of its proper divisors (360892242209376).

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

136029362804640 is a wasteful number, since it uses less digits than its factorization.

136029362804640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112861274 (or 112861254 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 136029362804640 in words is "one hundred thirty-six trillion, twenty-nine billion, three hundred sixty-two million, eight hundred four thousand, six hundred forty".