135777309696 has 1056 divisors, whose sum is σ = 500020853760. Its totient is φ = 36229939200.

The previous prime is 135777309691. The next prime is 135777309721. The reversal of 135777309696 is 696903777531.

It is a super-2 number, since 2×135777309696² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135777309691) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2225857506 + ... + 2225857566.

Almost surely, 2^135777309696 is an apocalyptic number.

135777309696 is a gapful number since it is divisible by the number (16) 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 135777309696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250010426880).

135777309696 is an abundant number, since it is smaller than the sum of its proper divisors (364243544064).

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

135777309696 is a wasteful number, since it uses less digits than its factorization.

135777309696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 45008460, while the sum is 63.

The spelling of 135777309696 in words is "one hundred thirty-five billion, seven hundred seventy-seven million, three hundred nine thousand, six hundred ninety-six".