136284141840 has 640 divisors, whose sum is σ = 546589016064. Its totient is φ = 27260928000.

The previous prime is 136284141827. The next prime is 136284141881. The reversal of 136284141840 is 48141482631.

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

It is a junction number, because it is equal to n+sod(n) for n = 136284141792 and 136284141801.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 133480530 + ... + 133481550.

Almost surely, 2^136284141840 is an apocalyptic number.

136284141840 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 136284141840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273294508032).

136284141840 is an abundant number, since it is smaller than the sum of its proper divisors (410304874224).

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

136284141840 is a wasteful number, since it uses less digits than its factorization.

136284141840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 136284141840 in words is "one hundred thirty-six billion, two hundred eighty-four million, one hundred forty-one thousand, eight hundred forty".