136788048 has 80 divisors (see below), whose sum is σ = 401045760. Its totient is φ = 44619264.

The previous prime is 136788007. The next prime is 136788053. The reversal of 136788048 is 840887631.

It is a junction number, because it is equal to n+sod(n) for n = 136787994 and 136788012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16936 + ... + 23672.

It is an arithmetic number, because the mean of its divisors is an integer number (5013072).

Almost surely, 2^136788048 is an apocalyptic number.

136788048 is a gapful number since it is divisible by the number (18) 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 136788048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200522880).

136788048 is an abundant number, since it is smaller than the sum of its proper divisors (264257712).

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

136788048 is a wasteful number, since it uses less digits than its factorization.

136788048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6801 (or 6789 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 136788048 is about 11695.6422653910. The cubic root of 136788048 is about 515.2476868080.

The spelling of 136788048 in words is "one hundred thirty-six million, seven hundred eighty-eight thousand, forty-eight".