135777600000 has 960 divisors, whose sum is σ = 575400672000. Its totient is φ = 30965760000.

The previous prime is 135777599983. The next prime is 135777600019. The reversal of 135777600000 is 6777531.

135777600000 is a `hidden beast` number, since 13 + 577 + 76 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 302399776 + ... + 302400224.

It is an arithmetic number, because the mean of its divisors is an integer number (599375700).

Almost surely, 2^135777600000 is an apocalyptic number.

135777600000 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 135777600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287700336000).

135777600000 is an abundant number, since it is smaller than the sum of its proper divisors (439623072000).

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

135777600000 is an frugal number, since it uses more digits than its factorization.

135777600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

It can be divided in two parts, 135 and 777600000, that multiplied together give a square (104976000000 = 324000²).

The spelling of 135777600000 in words is "one hundred thirty-five billion, seven hundred seventy-seven million, six hundred thousand".