135667890 has 24 divisors (see below), whose sum is σ = 352736748. Its totient is φ = 36178080.

The previous prime is 135667867. The next prime is 135667891. The reversal of 135667890 is 98766531.

It is a happy number.

135667890 is a `hidden beast` number, since 1 + 3 + 566 + 7 + 89 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 134026929 + 1640961 = 11577^2 + 1281^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (135667891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 753621 + ... + 753800.

Almost surely, 2^135667890 is an apocalyptic number.

135667890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135667890 is an abundant number, since it is smaller than the sum of its proper divisors (217068858).

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

135667890 is a wasteful number, since it uses less digits than its factorization.

135667890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507434 (or 1507431 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 135667890 is about 11647.6559873650. The cubic root of 135667890 is about 513.8373748065.

The spelling of 135667890 in words is "one hundred thirty-five million, six hundred sixty-seven thousand, eight hundred ninety".