136088640 has 224 divisors, whose sum is σ = 505968000. Its totient is φ = 34338816.

The previous prime is 136088609. The next prime is 136088653. The reversal of 136088640 is 46880631.

It is a happy number.

136088640 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 8 + 8 + 640 = 666.

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 = 136088595 and 136088604.

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, 163746 + ... + 164574.

Almost surely, 2^136088640 is an apocalyptic number.

136088640 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 136088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252984000).

136088640 is an abundant number, since it is smaller than the sum of its proper divisors (369879360).

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

136088640 is a wasteful number, since it uses less digits than its factorization.

136088640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 136088640 is about 11665.7035792960. The cubic root of 136088640 is about 514.3680185737.

It can be divided in two parts, 1360 and 88640, that added together give a square (90000 = 300²).

The spelling of 136088640 in words is "one hundred thirty-six million, eighty-eight thousand, six hundred forty".