135595557000 has 384 divisors, whose sum is σ = 479446456320. Its totient is φ = 34499520000.

The previous prime is 135595556983. The next prime is 135595557017. The reversal of 135595557000 is 755595531.

135595557000 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 95 + 557 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135595556983) and next prime (135595557017).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 136826505 + ... + 136827495.

It is an arithmetic number, because the mean of its divisors is an integer number (1248558480).

Almost surely, 2^135595557000 is an apocalyptic number.

135595557000 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 135595557000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239723228160).

135595557000 is an abundant number, since it is smaller than the sum of its proper divisors (343850899320).

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

135595557000 is a wasteful number, since it uses less digits than its factorization.

135595557000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 590625, while the sum is 45.

The spelling of 135595557000 in words is "one hundred thirty-five billion, five hundred ninety-five million, five hundred fifty-seven thousand".