135416610 has 192 divisors, whose sum is σ = 440294400. Its totient is φ = 29253312.

The previous prime is 135416609. The next prime is 135416621. The reversal of 135416610 is 16614531.

135416610 is a `hidden beast` number, since 1 + 3 + 5 + 41 + 6 + 610 = 666.

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 95 ways as a sum of consecutive naturals, for example, 322981 + ... + 323399.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2^135416610 is an apocalyptic number.

135416610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135416610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).

135416610 is an abundant number, since it is smaller than the sum of its proper divisors (304877790).

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

135416610 is a wasteful number, since it uses less digits than its factorization.

135416610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 135416610 is about 11636.8642683500. The cubic root of 135416610 is about 513.5199406830.

The spelling of 135416610 in words is "one hundred thirty-five million, four hundred sixteen thousand, six hundred ten".