152450320 has 60 divisors (see below), whose sum is σ = 389623500. Its totient is φ = 55432960.

The previous prime is 152450299. The next prime is 152450321. The reversal of 152450320 is 23054251.

It can be written as a sum of positive squares in 2 ways, for example, as 22581504 + 129868816 = 4752^2 + 11396^2 .

It is a super-2 number, since 2×152450320² = 46482200136204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 152450291 and 152450300.

It is not an unprimeable number, because it can be changed into a prime (152450321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1806 + ... + 17554.

It is an arithmetic number, because the mean of its divisors is an integer number (6493725).

Almost surely, 2^152450320 is an apocalyptic number.

152450320 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 152450320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194811750).

152450320 is an abundant number, since it is smaller than the sum of its proper divisors (237173180).

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

152450320 is a wasteful number, since it uses less digits than its factorization.

152450320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15784 (or 15767 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 152450320 is about 12347.0773869770. The cubic root of 152450320 is about 534.2068428641.

The spelling of 152450320 in words is "one hundred fifty-two million, four hundred fifty thousand, three hundred twenty".