134506296001 has 45 divisors (see below), whose sum is σ = 172510495155. Its totient is φ = 104568045120.

The previous prime is 134506295999. The next prime is 134506296013. The reversal of 134506296001 is 100692605431.

The square root of 134506296001 is 366751.

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

It can be written as a sum of positive squares in only one way, i.e., 15083524225 + 119422771776 = 122815^2 + 345576^2 .

It is not a de Polignac number, because 134506296001 - 2¹ = 134506295999 is a prime.

It is a super-3 number, since 3×134506296001³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (134506296061) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 310637881 + ... + 310638313.

It is an arithmetic number, because the mean of its divisors is an integer number (3833566559).

Almost surely, 2^134506296001 is an apocalyptic number.

134506296001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134506296001 is the 366751-st square number.

134506296001 is the 183376-th centered octagonal number.

It is an amenable number.

134506296001 is a deficient number, since it is larger than the sum of its proper divisors (38004199154).

134506296001 is an frugal number, since it uses more digits than its factorization.

134506296001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 134506296001 in words is "one hundred thirty-four billion, five hundred six million, two hundred ninety-six thousand, one".