152342553000 has 256 divisors, whose sum is σ = 519770234880. Its totient is φ = 36842400000.

The previous prime is 152342552987. The next prime is 152342553001. The reversal of 152342553000 is 355243251.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (152342553001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14217645 + ... + 14228355.

It is an arithmetic number, because the mean of its divisors is an integer number (2030352480).

Almost surely, 2^152342553000 is an apocalyptic number.

152342553000 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 152342553000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259885117440).

152342553000 is an abundant number, since it is smaller than the sum of its proper divisors (367427681880).

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

152342553000 is a wasteful number, since it uses less digits than its factorization.

152342553000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11177 (or 11163 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 152342553000 its reverse (355243251), we get a palindrome (152697796251).

The spelling of 152342553000 in words is "one hundred fifty-two billion, three hundred forty-two million, five hundred fifty-three thousand".