135105402400 has 72 divisors (see below), whose sum is σ = 333226523700. Its totient is φ = 53484994560.

The previous prime is 135105402373. The next prime is 135105402427. The reversal of 135105402400 is 4204501531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135105402373) and next prime (135105402427).

It can be written as a sum of positive squares in 6 ways, for example, as 60136771984 + 74968630416 = 245228^2 + 273804^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 792925 + ... + 948124.

Almost surely, 2^135105402400 is an apocalyptic number.

135105402400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135105402400 is an abundant number, since it is smaller than the sum of its proper divisors (198121121300).

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

135105402400 is a wasteful number, since it uses less digits than its factorization.

135105402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741166 (or 1741153 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 135105402400 its reverse (4204501531), we get a palindrome (139309903931).

The spelling of 135105402400 in words is "one hundred thirty-five billion, one hundred five million, four hundred two thousand, four hundred".