164151534000 has 80 divisors (see below), whose sum is σ = 529224564960. Its totient is φ = 43773740800.

The previous prime is 164151533989. The next prime is 164151534007. The reversal of 164151534000 is 435151461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×164151534000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (164151534007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13673295 + ... + 13685294.

It is an arithmetic number, because the mean of its divisors is an integer number (6615307062).

Almost surely, 2^164151534000 is an apocalyptic number.

164151534000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164151534000 is an abundant number, since it is smaller than the sum of its proper divisors (365073030960).

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

164151534000 is a wasteful number, since it uses less digits than its factorization.

164151534000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27358615 (or 27358599 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 164151534000 its reverse (435151461), we get a palindrome (164586685461).

The spelling of 164151534000 in words is "one hundred sixty-four billion, one hundred fifty-one million, five hundred thirty-four thousand".