135146825760 has 96 divisors (see below), whose sum is σ = 450754440192. Its totient is φ = 33919201280.

The previous prime is 135146825753. The next prime is 135146825767. The reversal of 135146825760 is 67528641531.

It is an interprime number because it is at equal distance from previous prime (135146825753) and next prime (135146825767).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (135146825767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8272896 + ... + 8289215.

It is an arithmetic number, because the mean of its divisors is an integer number (4695358752).

Almost surely, 2^135146825760 is an apocalyptic number.

135146825760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135146825760 is an abundant number, since it is smaller than the sum of its proper divisors (315607614432).

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

135146825760 is a wasteful number, since it uses less digits than its factorization.

135146825760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16562146 (or 16562138 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 135146825760 in words is "one hundred thirty-five billion, one hundred forty-six million, eight hundred twenty-five thousand, seven hundred sixty".