210153151400 has 192 divisors, whose sum is σ = 507121560000. Its totient is φ = 80944680960.

The previous prime is 210153151399. The next prime is 210153151447. The reversal of 210153151400 is 4151351012.

210153151400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 354389504 + ... + 354390096.

It is an arithmetic number, because the mean of its divisors is an integer number (2641258125).

Almost surely, 2^210153151400 is an apocalyptic number.

210153151400 is a gapful number since it is divisible by the number (20) 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 210153151400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253560780000).

210153151400 is an abundant number, since it is smaller than the sum of its proper divisors (296968408600).

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

210153151400 is a wasteful number, since it uses less digits than its factorization.

210153151400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The spelling of 210153151400 in words is "two hundred ten billion, one hundred fifty-three million, one hundred fifty-one thousand, four hundred".