136288152 has 384 divisors, whose sum is σ = 519966720. Its totient is φ = 31104000.

The previous prime is 136288129. The next prime is 136288157. The reversal of 136288152 is 251882631.

It is a happy number.

136288152 is a `hidden beast` number, since 13 + 628 + 8 + 15 + 2 = 666.

136288152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

Its product of digits (23040) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136288157) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2234202 + ... + 2234262.

It is an arithmetic number, because the mean of its divisors is an integer number (1354080).

Almost surely, 2^136288152 is an apocalyptic number.

136288152 is a gapful number since it is divisible by the number (12) 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 136288152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259983360).

136288152 is an abundant number, since it is smaller than the sum of its proper divisors (383678568).

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

136288152 is a wasteful number, since it uses less digits than its factorization.

136288152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 128 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 136288152 is about 11674.2516676659. The cubic root of 136288152 is about 514.6192579697.

The spelling of 136288152 in words is "one hundred thirty-six million, two hundred eighty-eight thousand, one hundred fifty-two".