135413545400 has 192 divisors, whose sum is σ = 381303720000. Its totient is φ = 43732684800.

The previous prime is 135413545303. The next prime is 135413545411. The reversal of 135413545400 is 4545314531.

It is a super-2 number, since 2×135413545400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1623926 + ... + 1705274.

It is an arithmetic number, because the mean of its divisors is an integer number (1985956875).

Almost surely, 2^135413545400 is an apocalyptic number.

135413545400 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 135413545400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190651860000).

135413545400 is an abundant number, since it is smaller than the sum of its proper divisors (245890174600).

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

135413545400 is a wasteful number, since it uses less digits than its factorization.

135413545400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81442 (or 81433 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 135413545400 its reverse (4545314531), we get a palindrome (139958859931).

The spelling of 135413545400 in words is "one hundred thirty-five billion, four hundred thirteen million, five hundred forty-five thousand, four hundred".