152398080 has 108 divisors (see below), whose sum is σ = 527321340. Its totient is φ = 40636416.

The previous prime is 152398019. The next prime is 152398087. The reversal of 152398080 is 80893251.

It can be written as a sum of positive squares in 2 ways, for example, as 119771136 + 32626944 = 10944^2 + 5712^2 .

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

It is not an unprimeable number, because it can be changed into a prime (152398087) 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, 4906 + ... + 18134.

It is an arithmetic number, because the mean of its divisors is an integer number (4882605).

Almost surely, 2^152398080 is an apocalyptic number.

152398080 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 152398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263660670).

152398080 is an abundant number, since it is smaller than the sum of its proper divisors (374923260).

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

152398080 is a wasteful number, since it uses less digits than its factorization.

152398080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13256 (or 13239 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 152398080 is about 12344.9617253356. The cubic root of 152398080 is about 534.1458171833.

The spelling of 152398080 in words is "one hundred fifty-two million, three hundred ninety-eight thousand, eighty".