135314045400 has 48 divisors (see below), whose sum is σ = 419473542600. Its totient is φ = 36083745280.

The previous prime is 135314045353. The next prime is 135314045401. The reversal of 135314045400 is 4540413531.

It is a super-2 number, since 2×135314045400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135314045401) by changing a digit.

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, 112761105 + ... + 112762304.

Almost surely, 2^135314045400 is an apocalyptic number.

135314045400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135314045400 is an abundant number, since it is smaller than the sum of its proper divisors (284159497200).

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

135314045400 is a wasteful number, since it uses less digits than its factorization.

135314045400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225523428 (or 225523419 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 135314045400 its reverse (4540413531), we get a palindrome (139854458931).

The spelling of 135314045400 in words is "one hundred thirty-five billion, three hundred fourteen million, forty-five thousand, four hundred".