135097996800 has 480 divisors, whose sum is σ = 482846408352. Its totient is φ = 33100922880.

The previous prime is 135097996763. The next prime is 135097996801. The reversal of 135097996800 is 8699790531.

135097996800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-4 number, since 4×135097996800⁴ (a number of 46 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135097996801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138277912 + ... + 138278888.

Almost surely, 2^135097996800 is an apocalyptic number.

135097996800 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 135097996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241423204176).

135097996800 is an abundant number, since it is smaller than the sum of its proper divisors (347748411552).

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

135097996800 is a wasteful number, since it uses less digits than its factorization.

135097996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 57.

The spelling of 135097996800 in words is "one hundred thirty-five billion, ninety-seven million, nine hundred ninety-six thousand, eight hundred".