135648157120 has 448 divisors, whose sum is σ = 402324295680. Its totient is φ = 42509795328.

The previous prime is 135648157079. The next prime is 135648157121. The reversal of 135648157120 is 21751846531.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135648157121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201557104 + ... + 201557776.

Almost surely, 2^135648157120 is an apocalyptic number.

135648157120 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 135648157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201162147840).

135648157120 is an abundant number, since it is smaller than the sum of its proper divisors (266676138560).

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

135648157120 is a wasteful number, since it uses less digits than its factorization.

135648157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 43.

The spelling of 135648157120 in words is "one hundred thirty-five billion, six hundred forty-eight million, one hundred fifty-seven thousand, one hundred twenty".