152211030400 has 384 divisors, whose sum is σ = 445557420000. Its totient is φ = 51073228800.

The previous prime is 152211030383. The next prime is 152211030427. The reversal of 152211030400 is 4030112251.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 55368226 + ... + 55370974.

Almost surely, 2^152211030400 is an apocalyptic number.

152211030400 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 152211030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222778710000).

152211030400 is an abundant number, since it is smaller than the sum of its proper divisors (293346389600).

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

152211030400 is a wasteful number, since it uses less digits than its factorization.

152211030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 152211030400 its reverse (4030112251), we get a palindrome (156241142651).

The spelling of 152211030400 in words is "one hundred fifty-two billion, two hundred eleven million, thirty thousand, four hundred".