135233280 has 576 divisors, whose sum is σ = 604369920. Its totient is φ = 27869184.

The previous prime is 135233257. The next prime is 135233297. The reversal of 135233280 is 82332531.

135233280 is a `hidden beast` number, since 1 + 352 + 33 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3144939 + ... + 3144981.

Almost surely, 2^135233280 is an apocalyptic number.

135233280 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 135233280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302184960).

135233280 is an abundant number, since it is smaller than the sum of its proper divisors (469136640).

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

135233280 is a wasteful number, since it uses less digits than its factorization.

135233280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 135233280 is about 11628.9844784487. The cubic root of 135233280 is about 513.2880978111.

The spelling of 135233280 in words is "one hundred thirty-five million, two hundred thirty-three thousand, two hundred eighty".