135602555400 has 1152 divisors, whose sum is σ = 544258915200. Its totient is φ = 29959372800.

The previous prime is 135602555383. The next prime is 135602555401. The reversal of 135602555400 is 4555206531.

135602555400 is a `hidden beast` number, since 1 + 3 + 5 + 60 + 2 + 55 + 540 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (135602555401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 783829714 + ... + 783829886.

It is an arithmetic number, because the mean of its divisors is an integer number (472446975).

Almost surely, 2^135602555400 is an apocalyptic number.

135602555400 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 135602555400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272129457600).

135602555400 is an abundant number, since it is smaller than the sum of its proper divisors (408656359800).

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

135602555400 is a wasteful number, since it uses less digits than its factorization.

135602555400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 135602555400 in words is "one hundred thirty-five billion, six hundred two million, five hundred fifty-five thousand, four hundred".