135674145750 has 512 divisors, whose sum is σ = 410605977600. Its totient is φ = 29405376000.

The previous prime is 135674145727. The next prime is 135674145793. The reversal of 135674145750 is 57541476531.

135674145750 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 135674145750.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 567674131 + ... + 567674369.

It is an arithmetic number, because the mean of its divisors is an integer number (801964800).

Almost surely, 2^135674145750 is an apocalyptic number.

135674145750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135674145750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205302988800).

135674145750 is an abundant number, since it is smaller than the sum of its proper divisors (274931831850).

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

135674145750 is a wasteful number, since it uses less digits than its factorization.

135674145750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 48.

The spelling of 135674145750 in words is "one hundred thirty-five billion, six hundred seventy-four million, one hundred forty-five thousand, seven hundred fifty".