152503050400 has 72 divisors (see below), whose sum is σ = 372353722524. Its totient is φ = 60992102400.

The previous prime is 152503050397. The next prime is 152503050419. The reversal of 152503050400 is 4050305251.

It can be written as a sum of positive squares in 6 ways, for example, as 15120145296 + 137382905104 = 122964^2 + 370652^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8577520 + ... + 8595280.

Almost surely, 2^152503050400 is an apocalyptic number.

152503050400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152503050400 is an abundant number, since it is smaller than the sum of its proper divisors (219850672124).

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

152503050400 is a wasteful number, since it uses less digits than its factorization.

152503050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28514 (or 28501 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

Adding to 152503050400 its reverse (4050305251), we get a palindrome (156553355651).

The spelling of 152503050400 in words is "one hundred fifty-two billion, five hundred three million, fifty thousand, four hundred".