152836320 has 192 divisors, whose sum is σ = 592704000. Its totient is φ = 32237568.

The previous prime is 152836297. The next prime is 152836349. The reversal of 152836320 is 23638251.

It is a super-2 number, since 2×152836320² = 46717881422284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 41931 + ... + 45429.

It is an arithmetic number, because the mean of its divisors is an integer number (3087000).

Almost surely, 2^152836320 is an apocalyptic number.

152836320 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 152836320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296352000).

152836320 is an abundant number, since it is smaller than the sum of its proper divisors (439867680).

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

152836320 is a wasteful number, since it uses less digits than its factorization.

152836320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3537 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 152836320 is about 12362.6987344997. The cubic root of 152836320 is about 534.6573285296.

The spelling of 152836320 in words is "one hundred fifty-two million, eight hundred thirty-six thousand, three hundred twenty".