135597142800 has 600 divisors, whose sum is σ = 557694838976. Its totient is φ = 30908666880.

The previous prime is 135597142787. The next prime is 135597142801. The reversal of 135597142800 is 8241795531.

135597142800 is a `hidden beast` number, since 1 + 3 + 559 + 7 + 14 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135597142801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 124059054 + ... + 124060146.

Almost surely, 2^135597142800 is an apocalyptic number.

135597142800 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 135597142800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278847419488).

135597142800 is an abundant number, since it is smaller than the sum of its proper divisors (422097696176).

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

135597142800 is a wasteful number, since it uses less digits than its factorization.

135597142800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 135597142800 in words is "one hundred thirty-five billion, five hundred ninety-seven million, one hundred forty-two thousand, eight hundred".