154213320400 has 30 divisors (see below), whose sum is σ = 370497503222. Its totient is φ = 61685328000.

The previous prime is 154213320397. The next prime is 154213320403. The reversal of 154213320400 is 4023312451.

154213320400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (154213320397) and next prime (154213320403).

It can be written as a sum of positive squares in 3 ways, for example, as 3355653184 + 150857667216 = 57928^2 + 388404^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154213320403) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 192766251 + ... + 192767050.

Almost surely, 2^154213320400 is an apocalyptic number.

154213320400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

154213320400 is an abundant number, since it is smaller than the sum of its proper divisors (216284182822).

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

154213320400 is a wasteful number, since it uses less digits than its factorization.

154213320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385533319 (or 385533308 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 154213320400 its reverse (4023312451), we get a palindrome (158236632851).

The spelling of 154213320400 in words is "one hundred fifty-four billion, two hundred thirteen million, three hundred twenty thousand, four hundred".