135045156530700 has 504 divisors, whose sum is σ = 501002276177088. Its totient is φ = 31286475970560.

The previous prime is 135045156530639. The next prime is 135045156530731. The reversal of 135045156530700 is 7035651540531.

135045156530700 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 4 + 51 + 565 + 30 + 7 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 11919789 + ... + 20302011.

It is an arithmetic number, because the mean of its divisors is an integer number (994052135272).

Almost surely, 2^{135045156530700} is an apocalyptic number.

135045156530700 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 135045156530700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250501138088544).

135045156530700 is an abundant number, since it is smaller than the sum of its proper divisors (365957119646388).

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

135045156530700 is a wasteful number, since it uses less digits than its factorization.

135045156530700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8382285 (or 8382263 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 135045156530700 in words is "one hundred thirty-five trillion, forty-five billion, one hundred fifty-six million, five hundred thirty thousand, seven hundred".