164296137600 has 432 divisors, whose sum is σ = 681965804520. Its totient is φ = 37553080320.

The previous prime is 164296137557. The next prime is 164296137619. The reversal of 164296137600 is 6731692461.

164296137600 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 9 + 6 + 1 + 37 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1352989 + ... + 1469411.

Almost surely, 2^164296137600 is an apocalyptic number.

164296137600 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 164296137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340982902260).

164296137600 is an abundant number, since it is smaller than the sum of its proper divisors (517669666920).

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

164296137600 is a wasteful number, since it uses less digits than its factorization.

164296137600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116467 (or 116440 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 164296137600 in words is "one hundred sixty-four billion, two hundred ninety-six million, one hundred thirty-seven thousand, six hundred".