135503400322400 has 288 divisors, whose sum is σ = 379433936861280. Its totient is φ = 46794940416000.

The previous prime is 135503400322261. The next prime is 135503400322427. The reversal of 135503400322400 is 4223004305531.

It is a super-2 number, since 2×135503400322400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 11214992 + ... + 19919408.

It is an arithmetic number, because the mean of its divisors is an integer number (1317478947435).

Almost surely, 2^{135503400322400} is an apocalyptic number.

135503400322400 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 135503400322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189716968430640).

135503400322400 is an abundant number, since it is smaller than the sum of its proper divisors (243930536538880).

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

135503400322400 is a wasteful number, since it uses less digits than its factorization.

135503400322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8704538 (or 8704525 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 135503400322400 its reverse (4223004305531), we get a palindrome (139726404627931).

The spelling of 135503400322400 in words is "one hundred thirty-five trillion, five hundred three billion, four hundred million, three hundred twenty-two thousand, four hundred".