135093013704 has 448 divisors, whose sum is σ = 439831944000. Its totient is φ = 38452008960.

The previous prime is 135093013697. The next prime is 135093013733. The reversal of 135093013704 is 407310390531.

135093013704 is a `hidden beast` number, since 13 + 509 + 3 + 0 + 137 + 0 + 4 = 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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 166987252 + ... + 166988060.

Almost surely, 2^135093013704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135093013704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219915972000).

135093013704 is an abundant number, since it is smaller than the sum of its proper divisors (304738930296).

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

135093013704 is a wasteful number, since it uses less digits than its factorization.

135093013704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 135093013704 in words is "one hundred thirty-five billion, ninety-three million, thirteen thousand, seven hundred four".