135241920 has 224 divisors, whose sum is σ = 520842240. Its totient is φ = 32762880.

The previous prime is 135241913. The next prime is 135241937. The reversal of 135241920 is 29142531.

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, 94329 + ... + 95751.

Almost surely, 2^135241920 is an apocalyptic number.

135241920 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 135241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260421120).

135241920 is an abundant number, since it is smaller than the sum of its proper divisors (385600320).

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

135241920 is a wasteful number, since it uses less digits than its factorization.

135241920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 135241920 is about 11629.3559580916. The cubic root of 135241920 is about 513.2990288352.

It can be divided in two parts, 135241 and 920, that added together give a square (136161 = 369²).

The spelling of 135241920 in words is "one hundred thirty-five million, two hundred forty-one thousand, nine hundred twenty".