136906000 has 240 divisors, whose sum is σ = 423401472. Its totient is φ = 42336000.

The previous prime is 136905983. The next prime is 136906009. The reversal of 136906000 is 609631.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (136906009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1077937 + ... + 1078063.

Almost surely, 2^136906000 is an apocalyptic number.

136906000 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 136906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211700736).

136906000 is an abundant number, since it is smaller than the sum of its proper divisors (286495472).

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

136906000 is a wasteful number, since it uses less digits than its factorization.

136906000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 136906000 is about 11700.6837407051. The cubic root of 136906000 is about 515.3957432010.

The spelling of 136906000 in words is "one hundred thirty-six million, nine hundred six thousand".