164257013400 has 192 divisors, whose sum is σ = 511604770080. Its totient is φ = 43595366400.

The previous prime is 164257013399. The next prime is 164257013423. The reversal of 164257013400 is 4310752461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187293762 + ... + 187294638.

Almost surely, 2^164257013400 is an apocalyptic number.

164257013400 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 164257013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255802385040).

164257013400 is an abundant number, since it is smaller than the sum of its proper divisors (347347756680).

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

164257013400 is a wasteful number, since it uses less digits than its factorization.

164257013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

Adding to 164257013400 its reverse (4310752461), we get a palindrome (168567765861).

The spelling of 164257013400 in words is "one hundred sixty-four billion, two hundred fifty-seven million, thirteen thousand, four hundred".