135357465600 has 1584 divisors, whose sum is σ = 598709180160. Its totient is φ = 28547481600.

The previous prime is 135357465589. The next prime is 135357465631. The reversal of 135357465600 is 6564753531.

135357465600 is a `hidden beast` number, since 1 + 3 + 5 + 35 + 7 + 4 + 6 + 5 + 600 = 666.

135357465600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1520870356 + ... + 1520870444.

Almost surely, 2^135357465600 is an apocalyptic number.

135357465600 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 135357465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299354590080).

135357465600 is an abundant number, since it is smaller than the sum of its proper divisors (463351714560).

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

135357465600 is a wasteful number, since it uses less digits than its factorization.

135357465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 135357465600 in words is "one hundred thirty-five billion, three hundred fifty-seven million, four hundred sixty-five thousand, six hundred".