133742764764 has 288 divisors, whose sum is σ = 407996359680. Its totient is φ = 37519262208.

The previous prime is 133742764763. The next prime is 133742764783. The reversal of 133742764764 is 467467247331.

133742764764 is a `hidden beast` number, since 1 + 33 + 74 + 2 + 76 + 476 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 133742764764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133742764763) 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 95 ways as a sum of consecutive naturals, for example, 145530297 + ... + 145531215.

Almost surely, 2^133742764764 is an apocalyptic number.

133742764764 is a gapful number since it is divisible by the number (14) 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 133742764764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203998179840).

133742764764 is an abundant number, since it is smaller than the sum of its proper divisors (274253594916).

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

133742764764 is a wasteful number, since it uses less digits than its factorization.

133742764764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1297 counting only the distinct ones).

The product of its digits is 14224896, while the sum is 54.

The spelling of 133742764764 in words is "one hundred thirty-three billion, seven hundred forty-two million, seven hundred sixty-four thousand, seven hundred sixty-four".