136782000 has 320 divisors, whose sum is σ = 522288000. Its totient is φ = 34099200.

The previous prime is 136781999. The next prime is 136782031. The reversal of 136782000 is 287631.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 917926 + ... + 918074.

It is an arithmetic number, because the mean of its divisors is an integer number (1632150).

Almost surely, 2^136782000 is an apocalyptic number.

136782000 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 136782000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261144000).

136782000 is an abundant number, since it is smaller than the sum of its proper divisors (385506000).

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

136782000 is a wasteful number, since it uses less digits than its factorization.

136782000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 136782000 is about 11695.3837046931. The cubic root of 136782000 is about 515.2400929088.

The spelling of 136782000 in words is "one hundred thirty-six million, seven hundred eighty-two thousand".