152136320 has 128 divisors (see below), whose sum is σ = 430358400. Its totient is φ = 50319360.

The previous prime is 152136319. The next prime is 152136323. The reversal of 152136320 is 23631251.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152136323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129335 + ... + 130505.

It is an arithmetic number, because the mean of its divisors is an integer number (3362175).

Almost surely, 2^152136320 is an apocalyptic number.

152136320 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 152136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215179200).

152136320 is an abundant number, since it is smaller than the sum of its proper divisors (278222080).

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

152136320 is a wasteful number, since it uses less digits than its factorization.

152136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 152136320 is about 12334.3552729764. The cubic root of 152136320 is about 533.8398244035.

Adding to 152136320 its reverse (23631251), we get a palindrome (175767571).

The spelling of 152136320 in words is "one hundred fifty-two million, one hundred thirty-six thousand, three hundred twenty".