152411150400 has 168 divisors, whose sum is σ = 501197233824. Its totient is φ = 40548556800.

The previous prime is 152411150377. The next prime is 152411150401. The reversal of 152411150400 is 4051114251.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (152411150401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2041735 + ... + 2115065.

It is an arithmetic number, because the mean of its divisors is an integer number (2983316868).

Almost surely, 2^152411150400 is an apocalyptic number.

152411150400 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 152411150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250598616912).

152411150400 is an abundant number, since it is smaller than the sum of its proper divisors (348786083424).

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

152411150400 is a wasteful number, since it uses less digits than its factorization.

152411150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73789 (or 73774 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 152411150400 its reverse (4051114251), we get a palindrome (156462264651).

The spelling of 152411150400 in words is "one hundred fifty-two billion, four hundred eleven million, one hundred fifty thousand, four hundred".