152288136 has 192 divisors, whose sum is σ = 554037120. Its totient is φ = 36495360.

The previous prime is 152288107. The next prime is 152288137. The reversal of 152288136 is 631882251.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 152288136.

It is not an unprimeable number, because it can be changed into a prime (152288137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71016 + ... + 73128.

It is an arithmetic number, because the mean of its divisors is an integer number (2885610).

Almost surely, 2^152288136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152288136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277018560).

152288136 is an abundant number, since it is smaller than the sum of its proper divisors (401748984).

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

152288136 is a wasteful number, since it uses less digits than its factorization.

152288136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 2149 counting only the distinct ones).

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

The square root of 152288136 is about 12340.5079311996. The cubic root of 152288136 is about 534.0173373153.

The spelling of 152288136 in words is "one hundred fifty-two million, two hundred eighty-eight thousand, one hundred thirty-six".