153036422400 has 216 divisors, whose sum is σ = 509036975104. Its totient is φ = 40487731200.

The previous prime is 153036422359. The next prime is 153036422417. The reversal of 153036422400 is 4224630351.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 2407020 + ... + 2469780.

Almost surely, 2^153036422400 is an apocalyptic number.

153036422400 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 153036422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254518487552).

153036422400 is an abundant number, since it is smaller than the sum of its proper divisors (356000552704).

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

153036422400 is a wasteful number, since it uses less digits than its factorization.

153036422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62917 (or 62898 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 153036422400 in words is "one hundred fifty-three billion, thirty-six million, four hundred twenty-two thousand, four hundred".