152233014400 has 192 divisors, whose sum is σ = 411033692160. Its totient is φ = 55461888000.

The previous prime is 152233014359. The next prime is 152233014413. The reversal of 152233014400 is 4410332251.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1641265 + ... + 1731535.

It is an arithmetic number, because the mean of its divisors is an integer number (2140800480).

Almost surely, 2^152233014400 is an apocalyptic number.

152233014400 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 152233014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205516846080).

152233014400 is an abundant number, since it is smaller than the sum of its proper divisors (258800677760).

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

152233014400 is a wasteful number, since it uses less digits than its factorization.

152233014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90343 (or 90326 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 152233014400 its reverse (4410332251), we get a palindrome (156643346651).

The spelling of 152233014400 in words is "one hundred fifty-two billion, two hundred thirty-three million, fourteen thousand, four hundred".