135145527300 has 360 divisors, whose sum is σ = 530127569664. Its totient is φ = 29073116160.

The previous prime is 135145527299. The next prime is 135145527337. The reversal of 135145527300 is 3725541531.

135145527300 is a `hidden beast` number, since 1 + 35 + 1 + 4 + 552 + 73 + 0 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 893797 + ... + 1034003.

Almost surely, 2^135145527300 is an apocalyptic number.

135145527300 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 135145527300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265063784832).

135145527300 is an abundant number, since it is smaller than the sum of its proper divisors (394982042364).

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

135145527300 is a wasteful number, since it uses less digits than its factorization.

135145527300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140257 (or 140241 counting only the distinct ones).

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

The spelling of 135145527300 in words is "one hundred thirty-five billion, one hundred forty-five million, five hundred twenty-seven thousand, three hundred".