135764365276100 has 144 divisors (see below), whose sum is σ = 327229158868416. Its totient is φ = 48478063104000.

The previous prime is 135764365276091. The next prime is 135764365276109. The reversal of 135764365276100 is 1672563467531.

It is an interprime number because it is at equal distance from previous prime (135764365276091) and next prime (135764365276109).

It is not an unprimeable number, because it can be changed into a prime (135764365276109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14504060 + ... + 21952140.

It is an arithmetic number, because the mean of its divisors is an integer number (2272424714364).

Almost surely, 2^{135764365276100} is an apocalyptic number.

135764365276100 is a gapful number since it is divisible by the number (10) 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 135764365276100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163614579434208).

135764365276100 is an abundant number, since it is smaller than the sum of its proper divisors (191464793592316).

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

135764365276100 is a wasteful number, since it uses less digits than its factorization.

135764365276100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7448406 (or 7448399 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 56.

The spelling of 135764365276100 in words is "one hundred thirty-five trillion, seven hundred sixty-four billion, three hundred sixty-five million, two hundred seventy-six thousand, one hundred".