264157535100 has 144 divisors (see below), whose sum is σ = 767368885248. Its totient is φ = 70159330560.

The previous prime is 264157535071. The next prime is 264157535143. The reversal of 264157535100 is 1535751462.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164378497 + ... + 164380103.

It is an arithmetic number, because the mean of its divisors is an integer number (5328950592).

Almost surely, 2^264157535100 is an apocalyptic number.

264157535100 is a gapful number since it is divisible by the number (20) 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 264157535100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383684442624).

264157535100 is an abundant number, since it is smaller than the sum of its proper divisors (503211350148).

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

264157535100 is a wasteful number, since it uses less digits than its factorization.

264157535100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The spelling of 264157535100 in words is "two hundred sixty-four billion, one hundred fifty-seven million, five hundred thirty-five thousand, one hundred".