135749385216 has 220 divisors, whose sum is σ = 406018437880. Its totient is φ = 45177937920.

The previous prime is 135749385197. The next prime is 135749385227. The reversal of 135749385216 is 612583947531.

It is a happy number.

135749385216 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 49 + 385 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 88666371 + ... + 88667901.

It is an arithmetic number, because the mean of its divisors is an integer number (1845538354).

Almost surely, 2^135749385216 is an apocalyptic number.

135749385216 is a gapful number since it is divisible by the number (16) 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 135749385216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203009218940).

135749385216 is an abundant number, since it is smaller than the sum of its proper divisors (270269052664).

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

135749385216 is a wasteful number, since it uses less digits than its factorization.

135749385216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 2605 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 135749385216 in words is "one hundred thirty-five billion, seven hundred forty-nine million, three hundred eighty-five thousand, two hundred sixteen".