135500457600 has 288 divisors, whose sum is σ = 483955325100. Its totient is φ = 36099194880.

The previous prime is 135500457557. The next prime is 135500457611. The reversal of 135500457600 is 6754005531.

135500457600 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 0 + 0 + 45 + 7 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 60787888704 + 74712568896 = 246552^2 + 273336^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49217824 + ... + 49220576.

Almost surely, 2^135500457600 is an apocalyptic number.

135500457600 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 135500457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241977662550).

135500457600 is an abundant number, since it is smaller than the sum of its proper divisors (348454867500).

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

135500457600 is a wasteful number, since it uses less digits than its factorization.

135500457600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4492 (or 4472 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 135500457600 in words is "one hundred thirty-five billion, five hundred million, four hundred fifty-seven thousand, six hundred".