135296950763520 has 4608 divisors, whose sum is σ = 641733536152800. Its totient is φ = 26026696507392.

The previous prime is 135296950763467. The next prime is 135296950763521. The reversal of 135296950763520 is 25367059692531.

135296950763520 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 9 + 69 + 507 + 63 + 5 + 2 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 64465740251136 + 70831210512384 = 8029056^2 + 8416128^2 .

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×135296950763520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (135296950763521) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 590816378766 + ... + 590816378994.

Almost surely, 2^{135296950763520} is an apocalyptic number.

135296950763520 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 135296950763520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320866768076400).

135296950763520 is an abundant number, since it is smaller than the sum of its proper divisors (506436585389280).

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

135296950763520 is a wasteful number, since it uses less digits than its factorization.

135296950763520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 91854000, while the sum is 63.

The spelling of 135296950763520 in words is "one hundred thirty-five trillion, two hundred ninety-six billion, nine hundred fifty million, seven hundred sixty-three thousand, five hundred twenty".