135415023104000 has 208 divisors, whose sum is σ = 339443716693536. Its totient is φ = 53927346176000.

The previous prime is 135415023103999. The next prime is 135415023104003. The reversal of 135415023104000 is 401320514531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135415023104003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115641440 + ... + 116806560.

It is an arithmetic number, because the mean of its divisors is an integer number (1631940945642).

Almost surely, 2^{135415023104000} is an apocalyptic number.

135415023104000 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 135415023104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169721858346768).

135415023104000 is an abundant number, since it is smaller than the sum of its proper divisors (204028693589536).

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

135415023104000 is an equidigital number, since it uses as much as digits as its factorization.

135415023104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165387 (or 1165355 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 135415023104000 its reverse (401320514531), we get a palindrome (135816343618531).

The spelling of 135415023104000 in words is "one hundred thirty-five trillion, four hundred fifteen billion, twenty-three million, one hundred four thousand".