136668000 has 192 divisors, whose sum is σ = 511999488. Its totient is φ = 31219200.

The previous prime is 136667987. The next prime is 136668011. The reversal of 136668000 is 866631.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83187 + ... + 84813.

It is an arithmetic number, because the mean of its divisors is an integer number (2666664).

Almost surely, 2^136668000 is an apocalyptic number.

136668000 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 136668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255999744).

136668000 is an abundant number, since it is smaller than the sum of its proper divisors (375331488).

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

136668000 is a wasteful number, since it uses less digits than its factorization.

136668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 136668000 is about 11690.5089709559. The cubic root of 136668000 is about 515.0969120414.

The spelling of 136668000 in words is "one hundred thirty-six million, six hundred sixty-eight thousand".