135261469200 has 960 divisors, whose sum is σ = 537629589504. Its totient is φ = 28615680000.

The previous prime is 135261469183. The next prime is 135261469201. The reversal of 135261469200 is 2964162531.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (135261469201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 250020930 + ... + 250021470.

Almost surely, 2^135261469200 is an apocalyptic number.

135261469200 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 135261469200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268814794752).

135261469200 is an abundant number, since it is smaller than the sum of its proper divisors (402368120304).

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

135261469200 is a wasteful number, since it uses less digits than its factorization.

135261469200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 135261469200 in words is "one hundred thirty-five billion, two hundred sixty-one million, four hundred sixty-nine thousand, two hundred".