136286640 has 180 divisors, whose sum is σ = 532559664. Its totient is φ = 31143168.

The previous prime is 136286611. The next prime is 136286659. The reversal of 136286640 is 46682631.

136286640 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 8 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 136286595 and 136286604.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33349 + ... + 37211.

Almost surely, 2^136286640 is an apocalyptic number.

136286640 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 136286640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266279832).

136286640 is an abundant number, since it is smaller than the sum of its proper divisors (396273024).

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

136286640 is a wasteful number, since it uses less digits than its factorization.

136286640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3896 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 136286640 is about 11674.1869095882. The cubic root of 136286640 is about 514.6173548764.

The spelling of 136286640 in words is "one hundred thirty-six million, two hundred eighty-six thousand, six hundred forty".