152242122400 has 72 divisors (see below), whose sum is σ = 372714636924. Its totient is φ = 60724224000.

The previous prime is 152242122397. The next prime is 152242122401. The reversal of 152242122400 is 4221242251.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 54320692624 + 97921429776 = 233068^2 + 312924^2 .

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

It is not an unprimeable number, because it can be changed into a prime (152242122401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12850 + ... + 551950.

Almost surely, 2^152242122400 is an apocalyptic number.

152242122400 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 152242122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186357318462).

152242122400 is an abundant number, since it is smaller than the sum of its proper divisors (220472514524).

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

152242122400 is a wasteful number, since it uses less digits than its factorization.

152242122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539474 (or 539461 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 152242122400 its reverse (4221242251), we get a palindrome (156463364651).

The spelling of 152242122400 in words is "one hundred fifty-two billion, two hundred forty-two million, one hundred twenty-two thousand, four hundred".