135772464960 has 336 divisors, whose sum is σ = 523228897152. Its totient is φ = 32024678400.

The previous prime is 135772464899. The next prime is 135772464977. The reversal of 135772464960 is 69464277531.

135772464960 is a `hidden beast` number, since 1 + 3 + 57 + 72 + 464 + 9 + 60 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 135772464897 and 135772464906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1114245 + ... + 1230075.

Almost surely, 2^135772464960 is an apocalyptic number.

135772464960 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 135772464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261614448576).

135772464960 is an abundant number, since it is smaller than the sum of its proper divisors (387456432192).

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

135772464960 is a wasteful number, since it uses less digits than its factorization.

135772464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115902 (or 115889 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 135772464960 in words is "one hundred thirty-five billion, seven hundred seventy-two million, four hundred sixty-four thousand, nine hundred sixty".