164040132300 has 288 divisors, whose sum is σ = 526272816384. Its totient is φ = 39117312000.

The previous prime is 164040132281. The next prime is 164040132313. The reversal of 164040132300 is 3231040461.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125508247 + ... + 125509553.

It is an arithmetic number, because the mean of its divisors is an integer number (1827336168).

Almost surely, 2^164040132300 is an apocalyptic number.

164040132300 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 164040132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263136408192).

164040132300 is an abundant number, since it is smaller than the sum of its proper divisors (362232684084).

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

164040132300 is a wasteful number, since it uses less digits than its factorization.

164040132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 164040132300 its reverse (3231040461), we get a palindrome (167271172761).

The spelling of 164040132300 in words is "one hundred sixty-four billion, forty million, one hundred thirty-two thousand, three hundred".