135849424000 has 64 divisors (see below), whose sum is σ = 337755670200. Its totient is φ = 54339763200.

The previous prime is 135849423991. The next prime is 135849424003. The reversal of 135849424000 is 424948531.

It can be written as a sum of positive squares in 4 ways, for example, as 42511841856 + 93337582144 = 206184^2 + 305512^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×135849424000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (135849424003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4229295 + ... + 4261294.

Almost surely, 2^135849424000 is an apocalyptic number.

135849424000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135849424000 is an abundant number, since it is smaller than the sum of its proper divisors (201906246200).

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

135849424000 is an frugal number, since it uses more digits than its factorization.

135849424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8490618 (or 8490596 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 135849424000 in words is "one hundred thirty-five billion, eight hundred forty-nine million, four hundred twenty-four thousand".