136426555041600 has 168 divisors, whose sum is σ = 447803059037760. Its totient is φ = 36363323924480.

The previous prime is 136426555041583. The next prime is 136426555041611. The reversal of 136426555041600 is 6140555624631.

It is a happy number.

It is a super-2 number, since 2×136426555041600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 136426555041600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3544189 + ... + 16894211.

Almost surely, 2^{136426555041600} is an apocalyptic number.

136426555041600 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 136426555041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223901529518880).

136426555041600 is an abundant number, since it is smaller than the sum of its proper divisors (311376503996160).

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

136426555041600 is a wasteful number, since it uses less digits than its factorization.

136426555041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13352177 (or 13352162 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 136426555041600 in words is "one hundred thirty-six trillion, four hundred twenty-six billion, five hundred fifty-five million, forty-one thousand, six hundred".