152003040000 has 720 divisors, whose sum is σ = 608406247680. Its totient is φ = 32901120000.

The previous prime is 152003039971. The next prime is 152003040029. The reversal of 152003040000 is 40300251.

It is an interprime number because it is at equal distance from previous prime (152003039971) and next prime (152003040029).

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 79 ways as a sum of consecutive naturals, for example, 63838810 + ... + 63841190.

Almost surely, 2^152003040000 is an apocalyptic number.

152003040000 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 152003040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304203123840).

152003040000 is an abundant number, since it is smaller than the sum of its proper divisors (456403207680).

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

152003040000 is an equidigital number, since it uses as much as digits as its factorization.

152003040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2417 counting only the distinct ones).

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

Adding to 152003040000 its reverse (40300251), we get a palindrome (152043340251).

The spelling of 152003040000 in words is "one hundred fifty-two billion, three million, forty thousand".