136529064 has 192 divisors, whose sum is σ = 447283200. Its totient is φ = 38211264.

The previous prime is 136529059. The next prime is 136529069. The reversal of 136529064 is 460925631.

It is a happy number.

136529064 is a `hidden beast` number, since 1 + 365 + 290 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (136529059) and next prime (136529069).

It is a super-3 number, since 3×136529064³ (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (136529069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1074969 + ... + 1075095.

It is an arithmetic number, because the mean of its divisors is an integer number (2329600).

Almost surely, 2^136529064 is an apocalyptic number.

136529064 is a gapful number since it is divisible by the number (14) 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 136529064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223641600).

136529064 is an abundant number, since it is smaller than the sum of its proper divisors (310754136).

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

136529064 is a wasteful number, since it uses less digits than its factorization.

136529064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 136529064 is about 11684.5652037207. The cubic root of 136529064 is about 514.9223045514.

The spelling of 136529064 in words is "one hundred thirty-six million, five hundred twenty-nine thousand, sixty-four".