136354561644 has 288 divisors, whose sum is σ = 404766028800. Its totient is φ = 35480954880.

The previous prime is 136354561633. The next prime is 136354561709. The reversal of 136354561644 is 446165453631.

It is a happy number.

It is a super-3 number, since 3×136354561644³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 136354561593 and 136354561602.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87799972 + ... + 87801524.

It is an arithmetic number, because the mean of its divisors is an integer number (1405437600).

Almost surely, 2^136354561644 is an apocalyptic number.

136354561644 is a gapful number since it is divisible by the number (14) 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 136354561644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202383014400).

136354561644 is an abundant number, since it is smaller than the sum of its proper divisors (268411467156).

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

136354561644 is a wasteful number, since it uses less digits than its factorization.

136354561644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1884 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 48.

The spelling of 136354561644 in words is "one hundred thirty-six billion, three hundred fifty-four million, five hundred sixty-one thousand, six hundred forty-four".