152040033200000 has 576 divisors, whose sum is σ = 429565332309120. Its totient is φ = 53503296000000.

The previous prime is 152040033199991. The next prime is 152040033200009. The reversal of 152040033200000 is 2330040251.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (152040033199991) and next prime (152040033200009).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152040033200009) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1500349334 + ... + 1500450666.

It is an arithmetic number, because the mean of its divisors is an integer number (745773146370).

Almost surely, 2^{152040033200000} is an apocalyptic number.

152040033200000 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 152040033200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214782666154560).

152040033200000 is an abundant number, since it is smaller than the sum of its proper divisors (277525299109120).

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

152040033200000 is an equidigital number, since it uses as much as digits as its factorization.

152040033200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101425 (or 101382 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 152040033200000 its reverse (2330040251), we get a palindrome (152042363240251).

The spelling of 152040033200000 in words is "one hundred fifty-two trillion, forty billion, thirty-three million, two hundred thousand".