135434010400 has 72 divisors (see below), whose sum is σ = 356061249684. Its totient is φ = 50006400000.

The previous prime is 135434010379. The next prime is 135434010401. The reversal of 135434010400 is 4010434531.

It can be written as a sum of positive squares in 6 ways, for example, as 16786830096 + 118647180304 = 129564^2 + 344452^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (135434010401) 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, 6500851 + ... + 6521650.

Almost surely, 2^135434010400 is an apocalyptic number.

135434010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135434010400 is an abundant number, since it is smaller than the sum of its proper divisors (220627239284).

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

135434010400 is a wasteful number, since it uses less digits than its factorization.

135434010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13022534 (or 13022521 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 135434010400 its reverse (4010434531), we get a palindrome (139444444931).

The spelling of 135434010400 in words is "one hundred thirty-five billion, four hundred thirty-four million, ten thousand, four hundred".