134167631521 has 81 divisors (see below), whose sum is σ = 176636852721. Its totient is φ = 101535310800.

The previous prime is 134167631513. The next prime is 134167631551. The reversal of 134167631521 is 125136761431.

It is a happy number.

The square root of 134167631521 is 366289.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 134167631521 - 2³ = 134167631513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (134167631551) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 1889684916 + ... + 1889684986.

Almost surely, 2^134167631521 is an apocalyptic number.

134167631521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134167631521 is the 366289-th square number.

134167631521 is the 183145-th centered octagonal number.

It is an amenable number.

134167631521 is a deficient number, since it is larger than the sum of its proper divisors (42469221200).

134167631521 is an frugal number, since it uses more digits than its factorization.

134167631521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 156 counting only the distinct ones).

The product of its digits is 90720, while the sum is 40.

The spelling of 134167631521 in words is "one hundred thirty-four billion, one hundred sixty-seven million, six hundred thirty-one thousand, five hundred twenty-one".