135516629427920 has 320 divisors, whose sum is σ = 353507049100800. Its totient is φ = 47983186944000.

The previous prime is 135516629427871. The next prime is 135516629428027. The reversal of 135516629427920 is 29724926615531.

It is a Cunningham number, because it is equal to 11641161²-1.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11198789870 + ... + 11198801970.

It is an arithmetic number, because the mean of its divisors is an integer number (1104709528440).

Almost surely, 2^{135516629427920} is an apocalyptic number.

135516629427920 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 135516629427920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176753524550400).

135516629427920 is an abundant number, since it is smaller than the sum of its proper divisors (217990419672880).

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

135516629427920 is a wasteful number, since it uses less digits than its factorization.

135516629427920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16334 (or 16328 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 62.

The spelling of 135516629427920 in words is "one hundred thirty-five trillion, five hundred sixteen billion, six hundred twenty-nine million, four hundred twenty-seven thousand, nine hundred twenty".