135152640 has 264 divisors, whose sum is σ = 536477760. Its totient is φ = 30818304.

The previous prime is 135152629. The next prime is 135152659. The reversal of 135152640 is 46251531.

135152640 is a `hidden beast` number, since 1 + 3 + 5 + 15 + 2 + 640 = 666.

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, 322351 + ... + 322769.

Almost surely, 2^135152640 is an apocalyptic number.

135152640 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 135152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268238880).

135152640 is an abundant number, since it is smaller than the sum of its proper divisors (401325120).

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

135152640 is a wasteful number, since it uses less digits than its factorization.

135152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 135152640 is about 11625.5167627078. The cubic root of 135152640 is about 513.1860524609.

The spelling of 135152640 in words is "one hundred thirty-five million, one hundred fifty-two thousand, six hundred forty".