135716490 has 192 divisors, whose sum is σ = 442181376. Its totient is φ = 28118016.

The previous prime is 135716467. The next prime is 135716513. The reversal of 135716490 is 94617531.

135716490 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 1 + 649 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135716467) and next prime (135716513).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 597757 + ... + 597983.

It is an arithmetic number, because the mean of its divisors is an integer number (2303028).

Almost surely, 2^135716490 is an apocalyptic number.

135716490 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 135716490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221090688).

135716490 is an abundant number, since it is smaller than the sum of its proper divisors (306464886).

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

135716490 is a wasteful number, since it uses less digits than its factorization.

135716490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 135716490 is about 11649.7420572303. The cubic root of 135716490 is about 513.8987244131.

The spelling of 135716490 in words is "one hundred thirty-five million, seven hundred sixteen thousand, four hundred ninety".