135101736 has 128 divisors (see below), whose sum is σ = 467942400. Its totient is φ = 35087040.

The previous prime is 135101713. The next prime is 135101777. The reversal of 135101736 is 637101531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12571 + ... + 20693.

It is an arithmetic number, because the mean of its divisors is an integer number (3655800).

Almost surely, 2^135101736 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 135101736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233971200).

135101736 is an abundant number, since it is smaller than the sum of its proper divisors (332840664).

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

135101736 is a wasteful number, since it uses less digits than its factorization.

135101736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8156 (or 8146 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 135101736 is about 11623.3272344884. The cubic root of 135101736 is about 513.1216154333.

The spelling of 135101736 in words is "one hundred thirty-five million, one hundred one thousand, seven hundred thirty-six".