135007125708 has 288 divisors, whose sum is σ = 397704384000. Its totient is φ = 34895757312.

The previous prime is 135007125707. The next prime is 135007125749. The reversal of 135007125708 is 807521700531.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (135007125707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175561548 + ... + 175562316.

It is an arithmetic number, because the mean of its divisors is an integer number (1380918000).

Almost surely, 2^135007125708 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135007125708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198852192000).

135007125708 is an abundant number, since it is smaller than the sum of its proper divisors (262697258292).

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

135007125708 is a wasteful number, since it uses less digits than its factorization.

135007125708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 39.

The spelling of 135007125708 in words is "one hundred thirty-five billion, seven million, one hundred twenty-five thousand, seven hundred eight".