135341640 has 192 divisors, whose sum is σ = 514800000. Its totient is φ = 30191616.

The previous prime is 135341603. The next prime is 135341653. The reversal of 135341640 is 46143531.

135341640 is a `hidden beast` number, since 13 + 5 + 3 + 4 + 1 + 640 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107736 + ... + 108984.

It is an arithmetic number, because the mean of its divisors is an integer number (2681250).

Almost surely, 2^135341640 is an apocalyptic number.

135341640 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 135341640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257400000).

135341640 is an abundant number, since it is smaller than the sum of its proper divisors (379458360).

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

135341640 is a wasteful number, since it uses less digits than its factorization.

135341640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1309 counting only the distinct ones).

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

The square root of 135341640 is about 11633.6425937881. The cubic root of 135341640 is about 513.4251573898.

It can be divided in two parts, 135341 and 640, that added together give a triangular number (135981 = T₅₂₁).

The spelling of 135341640 in words is "one hundred thirty-five million, three hundred forty-one thousand, six hundred forty".