135567779490 has 240 divisors, whose sum is σ = 430612972416. Its totient is φ = 30336508800.

The previous prime is 135567779483. The next prime is 135567779497. The reversal of 135567779490 is 94977765531.

135567779490 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 6 + 77 + 79 + 490 = 666.

It is an interprime number because it is at equal distance from previous prime (135567779483) and next prime (135567779497).

It is not an unprimeable number, because it can be changed into a prime (135567779497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1460775 + ... + 1550805.

Almost surely, 2^135567779490 is an apocalyptic number.

135567779490 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 135567779490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215306486208).

135567779490 is an abundant number, since it is smaller than the sum of its proper divisors (295045192926).

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

135567779490 is a wasteful number, since it uses less digits than its factorization.

135567779490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90087 (or 90065 counting only the distinct ones).

The product of its (nonzero) digits is 50009400, while the sum is 63.

The spelling of 135567779490 in words is "one hundred thirty-five billion, five hundred sixty-seven million, seven hundred seventy-nine thousand, four hundred ninety".