136401128630760 has 256 divisors, whose sum is σ = 492287739955200. Its totient is φ = 29535705603072.

The previous prime is 136401128630749. The next prime is 136401128630783. The reversal of 136401128630760 is 67036821104631.

It is a happy number.

136401128630760 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×136401128630760³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 769135459 + ... + 769312781.

It is an arithmetic number, because the mean of its divisors is an integer number (1922998984200).

Almost surely, 2^{136401128630760} is an apocalyptic number.

136401128630760 is a gapful number since it is divisible by the number (10) 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 136401128630760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246143869977600).

136401128630760 is an abundant number, since it is smaller than the sum of its proper divisors (355886611324440).

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

136401128630760 is a wasteful number, since it uses less digits than its factorization.

136401128630760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225560 (or 225556 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 136401128630760 in words is "one hundred thirty-six trillion, four hundred one billion, one hundred twenty-eight million, six hundred thirty thousand, seven hundred sixty".