264129359142 has 256 divisors, whose sum is σ = 659025331200. Its totient is φ = 69526978560.

The previous prime is 264129359107. The next prime is 264129359183. The reversal of 264129359142 is 241953921462.

It is a junction number, because it is equal to n+sod(n) for n = 264129359091 and 264129359100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 177386334 + ... + 177387822.

It is an arithmetic number, because the mean of its divisors is an integer number (2574317700).

Almost surely, 2^264129359142 is an apocalyptic number.

264129359142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 264129359142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329512665600).

264129359142 is an abundant number, since it is smaller than the sum of its proper divisors (394895972058).

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

264129359142 is a wasteful number, since it uses less digits than its factorization.

264129359142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751.

The product of its digits is 933120, while the sum is 48.

The spelling of 264129359142 in words is "two hundred sixty-four billion, one hundred twenty-nine million, three hundred fifty-nine thousand, one hundred forty-two".