135872352 has 216 divisors, whose sum is σ = 486250128. Its totient is φ = 35228160.

The previous prime is 135872351. The next prime is 135872377. The reversal of 135872352 is 253278531.

It is a happy number.

135872352 is a `hidden beast` number, since 1 + 3 + 587 + 23 + 52 = 666.

It is a super-2 number, since 2×135872352² = 36922592076023808, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135872351) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243658 + ... + 244214.

It is an arithmetic number, because the mean of its divisors is an integer number (2251158).

Almost surely, 2^135872352 is an apocalyptic number.

135872352 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 135872352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243125064).

135872352 is an abundant number, since it is smaller than the sum of its proper divisors (350377776).

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

135872352 is a wasteful number, since it uses less digits than its factorization.

135872352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 580 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 135872352 is about 11656.4296420473. The cubic root of 135872352 is about 514.0953761250.

The spelling of 135872352 in words is "one hundred thirty-five million, eight hundred seventy-two thousand, three hundred fifty-two".