135854352 has 60 divisors (see below), whose sum is σ = 382213260. Its totient is φ = 45045504.

The previous prime is 135854339. The next prime is 135854401. The reversal of 135854352 is 253458531.

135854352 is a `hidden beast` number, since 13 + 58 + 543 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 76317696 + 59536656 = 8736^2 + 7716^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25974 + ... + 30762.

It is an arithmetic number, because the mean of its divisors is an integer number (6370221).

Almost surely, 2^135854352 is an apocalyptic number.

135854352 is a gapful number since it is divisible by the number (12) 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 135854352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191106630).

135854352 is an abundant number, since it is smaller than the sum of its proper divisors (246358908).

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

135854352 is a wasteful number, since it uses less digits than its factorization.

135854352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5000 (or 4991 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 135854352 is about 11655.6575104110. The cubic root of 135854352 is about 514.0726731363.

The spelling of 135854352 in words is "one hundred thirty-five million, eight hundred fifty-four thousand, three hundred fifty-two".