136746000 has 240 divisors, whose sum is σ = 488861568. Its totient is φ = 35616000.

The previous prime is 136745981. The next prime is 136746047. The reversal of 136746000 is 647631.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1277947 + ... + 1278053.

Almost surely, 2^136746000 is an apocalyptic number.

136746000 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 136746000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244430784).

136746000 is an abundant number, since it is smaller than the sum of its proper divisors (352115568).

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

136746000 is a wasteful number, since it uses less digits than its factorization.

136746000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 136746000 is about 11693.8445346259. The cubic root of 136746000 is about 515.1948864955.

The spelling of 136746000 in words is "one hundred thirty-six million, seven hundred forty-six thousand".