135935604000 has 1152 divisors, whose sum is σ = 609851773440. Its totient is φ = 29223936000.

The previous prime is 135935603981. The next prime is 135935604047. The reversal of 135935604000 is 406539531.

135935604000 is a `hidden beast` number, since 1 + 3 + 5 + 93 + 560 + 4 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89963245 + ... + 89964755.

It is an arithmetic number, because the mean of its divisors is an integer number (529385220).

Almost surely, 2^135935604000 is an apocalyptic number.

135935604000 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 135935604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304925886720).

135935604000 is an abundant number, since it is smaller than the sum of its proper divisors (473916169440).

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

135935604000 is a wasteful number, since it uses less digits than its factorization.

135935604000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 135935604000 in words is "one hundred thirty-five billion, nine hundred thirty-five million, six hundred four thousand".