135111772800 has 144 divisors (see below), whose sum is σ = 482109871230. Its totient is φ = 36029798400.

The previous prime is 135111772799. The next prime is 135111772811. The reversal of 135111772800 is 8277111531.

It can be written as a sum of positive squares in 3 ways, for example, as 55465902144 + 79645870656 = 235512^2 + 282216^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×135111772800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2316891 + ... + 2374490.

Almost surely, 2^135111772800 is an apocalyptic number.

135111772800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135111772800 is an abundant number, since it is smaller than the sum of its proper divisors (346998098430).

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

135111772800 is a wasteful number, since it uses less digits than its factorization.

135111772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4691411 (or 4691391 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The spelling of 135111772800 in words is "one hundred thirty-five billion, one hundred eleven million, seven hundred seventy-two thousand, eight hundred".