135519500400 has 180 divisors, whose sum is σ = 446169458952. Its totient is φ = 35161390080.

The previous prime is 135519500317. The next prime is 135519500401. The reversal of 135519500400 is 4005915531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135519500401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1601554 + ... + 1684046.

Almost surely, 2^135519500400 is an apocalyptic number.

135519500400 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 135519500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223084729476).

135519500400 is an abundant number, since it is smaller than the sum of its proper divisors (310649958552).

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

135519500400 is a wasteful number, since it uses less digits than its factorization.

135519500400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82588 (or 82540 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

The spelling of 135519500400 in words is "one hundred thirty-five billion, five hundred nineteen million, five hundred thousand, four hundred".