136865541120 has 704 divisors, whose sum is σ = 551862291456. Its totient is φ = 28122808320.

The previous prime is 136865541119. The next prime is 136865541199. The reversal of 136865541120 is 21145568631.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114723244 + ... + 114724436.

Almost surely, 2^136865541120 is an apocalyptic number.

136865541120 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 136865541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275931145728).

136865541120 is an abundant number, since it is smaller than the sum of its proper divisors (414996750336).

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

136865541120 is a wasteful number, since it uses less digits than its factorization.

136865541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 136865541120 in words is "one hundred thirty-six billion, eight hundred sixty-five million, five hundred forty-one thousand, one hundred twenty".