135540288 has 168 divisors, whose sum is σ = 437131968. Its totient is φ = 39840768.

The previous prime is 135540203. The next prime is 135540299. The reversal of 135540288 is 882045531.

It is a happy number.

135540288 is a `hidden beast` number, since 1 + 35 + 540 + 2 + 88 = 666.

It is a super-2 number, since 2×135540288² = 36742339342245888, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 171831 + ... + 172617.

It is an arithmetic number, because the mean of its divisors is an integer number (2601976).

Almost surely, 2^135540288 is an apocalyptic number.

135540288 is a gapful number since it is divisible by the number (18) 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 135540288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218565984).

135540288 is an abundant number, since it is smaller than the sum of its proper divisors (301591680).

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

135540288 is a wasteful number, since it uses less digits than its factorization.

135540288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 135540288 is about 11642.1771159865. The cubic root of 135540288 is about 513.6762282408.

The spelling of 135540288 in words is "one hundred thirty-five million, five hundred forty thousand, two hundred eighty-eight".