135602380800 has 672 divisors, whose sum is σ = 504622612800. Its totient is φ = 35696148480.

The previous prime is 135602380763. The next prime is 135602380933. The reversal of 135602380800 is 8083206531.

135602380800 is a `hidden beast` number, since 13 + 5 + 602 + 38 + 0 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 757555111 + ... + 757555289.

Almost surely, 2^135602380800 is an apocalyptic number.

135602380800 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 135602380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252311306400).

135602380800 is an abundant number, since it is smaller than the sum of its proper divisors (369020232000).

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

135602380800 is a wasteful number, since it uses less digits than its factorization.

135602380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 135602380800 in words is "one hundred thirty-five billion, six hundred two million, three hundred eighty thousand, eight hundred".