135486000 has 320 divisors, whose sum is σ = 525383040. Its totient is φ = 33177600.

The previous prime is 135485969. The next prime is 135486023. The reversal of 135486000 is 684531.

135486000 is a `hidden beast` number, since 1 + 3 + 54 + 8 + 600 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 701904 + ... + 702096.

It is an arithmetic number, because the mean of its divisors is an integer number (1641822).

Almost surely, 2^135486000 is an apocalyptic number.

135486000 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 135486000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262691520).

135486000 is an abundant number, since it is smaller than the sum of its proper divisors (389897040).

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

135486000 is a wasteful number, since it uses less digits than its factorization.

135486000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 135486000 is about 11639.8453597975. The cubic root of 135486000 is about 513.6076381081.

It can be divided in two parts, 135 and 486000, that multiplied together give a 4-th power (65610000 = 90⁴).

The spelling of 135486000 in words is "one hundred thirty-five million, four hundred eighty-six thousand".