152830080 has 288 divisors, whose sum is σ = 575099460. Its totient is φ = 37380096.

The previous prime is 152830063. The next prime is 152830109. The reversal of 152830080 is 80038251.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7096896 + 145733184 = 2664^2 + 12072^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 973362 + ... + 973518.

Almost surely, 2^152830080 is an apocalyptic number.

152830080 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 152830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287549730).

152830080 is an abundant number, since it is smaller than the sum of its proper divisors (422269380).

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

152830080 is a wasteful number, since it uses less digits than its factorization.

152830080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 152830080 is about 12362.4463598432. The cubic root of 152830080 is about 534.6500521022.

The spelling of 152830080 in words is "one hundred fifty-two million, eight hundred thirty thousand, eighty".