154215424200 has 192 divisors, whose sum is σ = 483400310400. Its totient is φ = 40667904000.

The previous prime is 154215424151. The next prime is 154215424261. The reversal of 154215424200 is 2424512451.

154215424200 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×154215424200² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20743684 + ... + 20751116.

It is an arithmetic number, because the mean of its divisors is an integer number (2517709950).

Almost surely, 2^154215424200 is an apocalyptic number.

154215424200 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 154215424200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241700155200).

154215424200 is an abundant number, since it is smaller than the sum of its proper divisors (329184886200).

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

154215424200 is a wasteful number, since it uses less digits than its factorization.

154215424200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7832 (or 7823 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 154215424200 its reverse (2424512451), we get a palindrome (156639936651).

The spelling of 154215424200 in words is "one hundred fifty-four billion, two hundred fifteen million, four hundred twenty-four thousand, two hundred".