135467820 has 72 divisors (see below), whose sum is σ = 413758800. Its totient is φ = 35875200.

The previous prime is 135467819. The next prime is 135467837. The reversal of 135467820 is 28764531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24295 + ... + 29345.

It is an arithmetic number, because the mean of its divisors is an integer number (5746650).

Almost surely, 2^135467820 is an apocalyptic number.

135467820 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 135467820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206879400).

135467820 is an abundant number, since it is smaller than the sum of its proper divisors (278290980).

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

135467820 is a wasteful number, since it uses less digits than its factorization.

135467820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5215 (or 5210 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 135467820 is about 11639.0643953885. The cubic root of 135467820 is about 513.5846645056.

The spelling of 135467820 in words is "one hundred thirty-five million, four hundred sixty-seven thousand, eight hundred twenty".