135473040 has 160 divisors (see below), whose sum is σ = 491337600. Its totient is φ = 34214400.

The previous prime is 135473033. The next prime is 135473047. The reversal of 135473040 is 40374531.

135473040 is a `hidden beast` number, since 1 + 354 + 7 + 304 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135473033) and next prime (135473047).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 135472995 and 135473013.

It is not an unprimeable number, because it can be changed into a prime (135473047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39390 + ... + 42690.

It is an arithmetic number, because the mean of its divisors is an integer number (3070860).

Almost surely, 2^135473040 is an apocalyptic number.

135473040 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 135473040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245668800).

135473040 is an abundant number, since it is smaller than the sum of its proper divisors (355864560).

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

135473040 is a wasteful number, since it uses less digits than its factorization.

135473040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 135473040 is about 11639.2886380569. The cubic root of 135473040 is about 513.5912610968.

The spelling of 135473040 in words is "one hundred thirty-five million, four hundred seventy-three thousand, forty".