152430000 has 100 divisors (see below), whose sum is σ = 492161208. Its totient is φ = 40640000.

The previous prime is 152429983. The next prime is 152430011. The reversal of 152430000 is 34251.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27460 + ... + 32540.

Almost surely, 2^152430000 is an apocalyptic number.

152430000 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 152430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246080604).

152430000 is an abundant number, since it is smaller than the sum of its proper divisors (339731208).

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

152430000 is an equidigital number, since it uses as much as digits as its factorization.

152430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5112 (or 5091 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 152430000 is about 12346.2544927601. The cubic root of 152430000 is about 534.1831071199.

Adding to 152430000 its reverse (34251), we get a palindrome (152464251).

The spelling of 152430000 in words is "one hundred fifty-two million, four hundred thirty thousand".