136634400235542 has 192 divisors, whose sum is σ = 306837296156160. Its totient is φ = 40517089367040.

The previous prime is 136634400235511. The next prime is 136634400235547. The reversal of 136634400235542 is 245532004436631.

It is a junction number, because it is equal to n+sod(n) for n = 136634400235491 and 136634400235500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136634400235547) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30891790743 + ... + 30891795165.

It is an arithmetic number, because the mean of its divisors is an integer number (1598110917480).

Almost surely, 2^{136634400235542} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136634400235542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153418648078080).

136634400235542 is an abundant number, since it is smaller than the sum of its proper divisors (170202895920618).

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

136634400235542 is a wasteful number, since it uses less digits than its factorization.

136634400235542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6419 (or 6408 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 48.

The spelling of 136634400235542 in words is "one hundred thirty-six trillion, six hundred thirty-four billion, four hundred million, two hundred thirty-five thousand, five hundred forty-two".