152242020400 has 120 divisors (see below), whose sum is σ = 375882987584. Its totient is φ = 59213721600.

The previous prime is 152242020397. The next prime is 152242020407. The reversal of 152242020400 is 4020242251.

It is not an unprimeable number, because it can be changed into a prime (152242020407) 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, 41926585 + ... + 41930215.

Almost surely, 2^152242020400 is an apocalyptic number.

152242020400 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 152242020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187941493792).

152242020400 is an abundant number, since it is smaller than the sum of its proper divisors (223640967184).

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

152242020400 is a wasteful number, since it uses less digits than its factorization.

152242020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6519 (or 6508 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 152242020400 its reverse (4020242251), we get a palindrome (156262262651).

The spelling of 152242020400 in words is "one hundred fifty-two billion, two hundred forty-two million, twenty thousand, four hundred".