135151099776 has 1280 divisors, whose sum is σ = 533837905920. Its totient is φ = 32920473600.

The previous prime is 135151099753. The next prime is 135151099777. The reversal of 135151099776 is 677990151531.

135151099776 is a `hidden beast` number, since 1 + 3 + 51 + 510 + 9 + 9 + 7 + 76 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135151099777) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1064181825 + ... + 1064181951.

It is an arithmetic number, because the mean of its divisors is an integer number (417060864).

Almost surely, 2^135151099776 is an apocalyptic number.

135151099776 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 135151099776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266918952960).

135151099776 is an abundant number, since it is smaller than the sum of its proper divisors (398686806144).

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

135151099776 is a wasteful number, since it uses less digits than its factorization.

135151099776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1786050, while the sum is 54.

The spelling of 135151099776 in words is "one hundred thirty-five billion, one hundred fifty-one million, ninety-nine thousand, seven hundred seventy-six".